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Simplifying 24 + -1[2x + -1(x + -6) + 30] = 3x + 2(x + -3) Reorder the terms: 24 + -1[2x + -1(-6 + x) + 30] = 3x + 2(x + -3) 24 + -1[2x + (-6 * -1 + x * -1) + 30] = 3x + 2(x + -3) 24 + -1[2x + (6 + -1x) + 30] = 3x + 2(x + -3) Reorder the terms: 24 + -1[6 + 30 + 2x + -1x] = 3x + 2(x + -3) Combine like terms: 6 + 30 = 36 24 + -1[36 + 2x + -1x] = 3x + 2(x + -3) Combine like terms: 2x + -1x = 1x 24 + -1[36 + 1x] = 3x + 2(x + -3) 24 + [36 * -1 + 1x * -1] = 3x + 2(x + -3) 24 + [-36 + -1x] = 3x + 2(x + -3) Combine like terms: 24 + -36 = -12 -12 + -1x = 3x + 2(x + -3) Reorder the terms: -12 + -1x = 3x + 2(-3 + x) -12 + -1x = 3x + (-3 * 2 + x * 2) -12 + -1x = 3x + (-6 + 2x) Reorder the terms: -12 + -1x = -6 + 3x + 2x Combine like terms: 3x + 2x = 5x -12 + -1x = -6 + 5x Solving -12 + -1x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -1x + -5x = -6 + 5x + -5x Combine like terms: -1x + -5x = -6x -12 + -6x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -6x = -6 + 0 -12 + -6x = -6 Add '12' to each side of the equation. -12 + 12 + -6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -6 + 12 -6x = -6 + 12 Combine like terms: -6 + 12 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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