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Simplifying -2(x + 2) = 3(x + -1) + -6x Reorder the terms: -2(2 + x) = 3(x + -1) + -6x (2 * -2 + x * -2) = 3(x + -1) + -6x (-4 + -2x) = 3(x + -1) + -6x Reorder the terms: -4 + -2x = 3(-1 + x) + -6x -4 + -2x = (-1 * 3 + x * 3) + -6x -4 + -2x = (-3 + 3x) + -6x Combine like terms: 3x + -6x = -3x -4 + -2x = -3 + -3x Solving -4 + -2x = -3 + -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. -4 + -2x + 3x = -3 + -3x + 3x Combine like terms: -2x + 3x = 1x -4 + 1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 1x = -3 + 0 -4 + 1x = -3 Add '4' to each side of the equation. -4 + 4 + 1x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -3 + 4 1x = -3 + 4 Combine like terms: -3 + 4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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