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Simplifying x + -5[2x + -3(x + 6)] = -4(x + -5) Reorder the terms: x + -5[2x + -3(6 + x)] = -4(x + -5) x + -5[2x + (6 * -3 + x * -3)] = -4(x + -5) x + -5[2x + (-18 + -3x)] = -4(x + -5) Reorder the terms: x + -5[-18 + 2x + -3x] = -4(x + -5) Combine like terms: 2x + -3x = -1x x + -5[-18 + -1x] = -4(x + -5) x + [-18 * -5 + -1x * -5] = -4(x + -5) x + [90 + 5x] = -4(x + -5) Reorder the terms: 90 + x + 5x = -4(x + -5) Combine like terms: x + 5x = 6x 90 + 6x = -4(x + -5) Reorder the terms: 90 + 6x = -4(-5 + x) 90 + 6x = (-5 * -4 + x * -4) 90 + 6x = (20 + -4x) Solving 90 + 6x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 90 + 6x + 4x = 20 + -4x + 4x Combine like terms: 6x + 4x = 10x 90 + 10x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 90 + 10x = 20 + 0 90 + 10x = 20 Add '-90' to each side of the equation. 90 + -90 + 10x = 20 + -90 Combine like terms: 90 + -90 = 0 0 + 10x = 20 + -90 10x = 20 + -90 Combine like terms: 20 + -90 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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