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Solve for 
x.

2(-2x+1)-2x+1=-27
Answer:

Solve for x \mathrm{x} .\newline2(2x+1)2x+1=27 2(-2 x+1)-2 x+1=-27 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newline2(2x+1)2x+1=27 2(-2 x+1)-2 x+1=-27 \newlineAnswer:
  1. Distribute 22: Distribute the 22 into the parentheses.\newlineWe need to apply the distributive property to the expression 2(2x+1)2(-2x+1). This means we multiply 22 by each term inside the parentheses.\newline2×(2x)+2×1=4x+22 \times (-2x) + 2 \times 1 = -4x + 2
  2. Simplify left side: Simplify the left side of the equation.\newlineNow we combine like terms on the left side of the equation. We have 4x-4x from the distribution and 2x-2x outside the parentheses, and we also have the constants 22 and 11.\newline4x2x+2+1-4x - 2x + 2 + 1\newlineCombine like terms:\newline6x+3-6x + 3
  3. Rewrite equation: Rewrite the equation with the simplified left side.\newlineNow that we have simplified the left side, we can rewrite the equation as:\newline6x+3=27-6x + 3 = -27
  4. Isolate variable term: Isolate the variable term by subtracting 33 from both sides.\newlineTo solve for xx, we need to get xx by itself on one side of the equation. We do this by subtracting 33 from both sides.\newline6x+33=273-6x + 3 - 3 = -27 - 3\newlineThis simplifies to:\newline6x=30-6x = -30
  5. Divide sides: Divide both sides by 6-6 to solve for xx. To isolate xx, we divide both sides of the equation by 6-6. 6x/6=30/6-6x / -6 = -30 / -6 This simplifies to: x=5x = 5