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Simplifying 3(x + -1) = -6(x + 2) Reorder the terms: 3(-1 + x) = -6(x + 2) (-1 * 3 + x * 3) = -6(x + 2) (-3 + 3x) = -6(x + 2) Reorder the terms: -3 + 3x = -6(2 + x) -3 + 3x = (2 * -6 + x * -6) -3 + 3x = (-12 + -6x) Solving -3 + 3x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 3x + 6x = -12 + -6x + 6x Combine like terms: 3x + 6x = 9x -3 + 9x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 9x = -12 + 0 -3 + 9x = -12 Add '3' to each side of the equation. -3 + 3 + 9x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = -12 + 3 9x = -12 + 3 Combine like terms: -12 + 3 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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