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Simplifying -1[3 + -2(x + -4)] = 3(x + -6) Reorder the terms: -1[3 + -2(-4 + x)] = 3(x + -6) -1[3 + (-4 * -2 + x * -2)] = 3(x + -6) -1[3 + (8 + -2x)] = 3(x + -6) Combine like terms: 3 + 8 = 11 -1[11 + -2x] = 3(x + -6) [11 * -1 + -2x * -1] = 3(x + -6) [-11 + 2x] = 3(x + -6) Reorder the terms: -11 + 2x = 3(-6 + x) -11 + 2x = (-6 * 3 + x * 3) -11 + 2x = (-18 + 3x) Solving -11 + 2x = -18 + 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. -11 + 2x + -3x = -18 + 3x + -3x Combine like terms: 2x + -3x = -1x -11 + -1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -1x = -18 + 0 -11 + -1x = -18 Add '11' to each side of the equation. -11 + 11 + -1x = -18 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -18 + 11 -1x = -18 + 11 Combine like terms: -18 + 11 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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