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Simplifying 10(x + -1) + -5[2x + -3(x + -1)] = 2(10x + -11) Reorder the terms: 10(-1 + x) + -5[2x + -3(x + -1)] = 2(10x + -11) (-1 * 10 + x * 10) + -5[2x + -3(x + -1)] = 2(10x + -11) (-10 + 10x) + -5[2x + -3(x + -1)] = 2(10x + -11) Reorder the terms: -10 + 10x + -5[2x + -3(-1 + x)] = 2(10x + -11) -10 + 10x + -5[2x + (-1 * -3 + x * -3)] = 2(10x + -11) -10 + 10x + -5[2x + (3 + -3x)] = 2(10x + -11) Reorder the terms: -10 + 10x + -5[3 + 2x + -3x] = 2(10x + -11) Combine like terms: 2x + -3x = -1x -10 + 10x + -5[3 + -1x] = 2(10x + -11) -10 + 10x + [3 * -5 + -1x * -5] = 2(10x + -11) -10 + 10x + [-15 + 5x] = 2(10x + -11) Reorder the terms: -10 + -15 + 10x + 5x = 2(10x + -11) Combine like terms: -10 + -15 = -25 -25 + 10x + 5x = 2(10x + -11) Combine like terms: 10x + 5x = 15x -25 + 15x = 2(10x + -11) Reorder the terms: -25 + 15x = 2(-11 + 10x) -25 + 15x = (-11 * 2 + 10x * 2) -25 + 15x = (-22 + 20x) Solving -25 + 15x = -22 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -25 + 15x + -20x = -22 + 20x + -20x Combine like terms: 15x + -20x = -5x -25 + -5x = -22 + 20x + -20x Combine like terms: 20x + -20x = 0 -25 + -5x = -22 + 0 -25 + -5x = -22 Add '25' to each side of the equation. -25 + 25 + -5x = -22 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = -22 + 25 -5x = -22 + 25 Combine like terms: -22 + 25 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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