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Simplifying 2x + -3(x + -5) = 3(3 + -4x) + -2(1 + -1x) Reorder the terms: 2x + -3(-5 + x) = 3(3 + -4x) + -2(1 + -1x) 2x + (-5 * -3 + x * -3) = 3(3 + -4x) + -2(1 + -1x) 2x + (15 + -3x) = 3(3 + -4x) + -2(1 + -1x) Reorder the terms: 15 + 2x + -3x = 3(3 + -4x) + -2(1 + -1x) Combine like terms: 2x + -3x = -1x 15 + -1x = 3(3 + -4x) + -2(1 + -1x) 15 + -1x = (3 * 3 + -4x * 3) + -2(1 + -1x) 15 + -1x = (9 + -12x) + -2(1 + -1x) 15 + -1x = 9 + -12x + (1 * -2 + -1x * -2) 15 + -1x = 9 + -12x + (-2 + 2x) Reorder the terms: 15 + -1x = 9 + -2 + -12x + 2x Combine like terms: 9 + -2 = 7 15 + -1x = 7 + -12x + 2x Combine like terms: -12x + 2x = -10x 15 + -1x = 7 + -10x Solving 15 + -1x = 7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + -1x + 10x = 7 + -10x + 10x Combine like terms: -1x + 10x = 9x 15 + 9x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 9x = 7 + 0 15 + 9x = 7 Add '-15' to each side of the equation. 15 + -15 + 9x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 7 + -15 9x = 7 + -15 Combine like terms: 7 + -15 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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