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Simplifying 7 + -1[x + -1(3 + -2x)] = -1(2x + -4) + -18 7 + -1[x + (3 * -1 + -2x * -1)] = -1(2x + -4) + -18 7 + -1[x + (-3 + 2x)] = -1(2x + -4) + -18 Reorder the terms: 7 + -1[-3 + x + 2x] = -1(2x + -4) + -18 Combine like terms: x + 2x = 3x 7 + -1[-3 + 3x] = -1(2x + -4) + -18 7 + [-3 * -1 + 3x * -1] = -1(2x + -4) + -18 7 + [3 + -3x] = -1(2x + -4) + -18 Combine like terms: 7 + 3 = 10 10 + -3x = -1(2x + -4) + -18 Reorder the terms: 10 + -3x = -1(-4 + 2x) + -18 10 + -3x = (-4 * -1 + 2x * -1) + -18 10 + -3x = (4 + -2x) + -18 Reorder the terms: 10 + -3x = 4 + -18 + -2x Combine like terms: 4 + -18 = -14 10 + -3x = -14 + -2x Solving 10 + -3x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -3x + 2x = -14 + -2x + 2x Combine like terms: -3x + 2x = -1x 10 + -1x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -1x = -14 + 0 10 + -1x = -14 Add '-10' to each side of the equation. 10 + -10 + -1x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -14 + -10 -1x = -14 + -10 Combine like terms: -14 + -10 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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