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Simplifying -2(2x + 6) = 5(2 + -1x) + 2x Reorder the terms: -2(6 + 2x) = 5(2 + -1x) + 2x (6 * -2 + 2x * -2) = 5(2 + -1x) + 2x (-12 + -4x) = 5(2 + -1x) + 2x -12 + -4x = (2 * 5 + -1x * 5) + 2x -12 + -4x = (10 + -5x) + 2x Combine like terms: -5x + 2x = -3x -12 + -4x = 10 + -3x Solving -12 + -4x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + -4x + 3x = 10 + -3x + 3x Combine like terms: -4x + 3x = -1x -12 + -1x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -1x = 10 + 0 -12 + -1x = 10 Add '12' to each side of the equation. -12 + 12 + -1x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 10 + 12 -1x = 10 + 12 Combine like terms: 10 + 12 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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