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Simplifying 3(x + -1) + -1(4x + -5) = 2(5x + -1) + -7 Reorder the terms: 3(-1 + x) + -1(4x + -5) = 2(5x + -1) + -7 (-1 * 3 + x * 3) + -1(4x + -5) = 2(5x + -1) + -7 (-3 + 3x) + -1(4x + -5) = 2(5x + -1) + -7 Reorder the terms: -3 + 3x + -1(-5 + 4x) = 2(5x + -1) + -7 -3 + 3x + (-5 * -1 + 4x * -1) = 2(5x + -1) + -7 -3 + 3x + (5 + -4x) = 2(5x + -1) + -7 Reorder the terms: -3 + 5 + 3x + -4x = 2(5x + -1) + -7 Combine like terms: -3 + 5 = 2 2 + 3x + -4x = 2(5x + -1) + -7 Combine like terms: 3x + -4x = -1x 2 + -1x = 2(5x + -1) + -7 Reorder the terms: 2 + -1x = 2(-1 + 5x) + -7 2 + -1x = (-1 * 2 + 5x * 2) + -7 2 + -1x = (-2 + 10x) + -7 Reorder the terms: 2 + -1x = -2 + -7 + 10x Combine like terms: -2 + -7 = -9 2 + -1x = -9 + 10x Solving 2 + -1x = -9 + 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. 2 + -1x + -10x = -9 + 10x + -10x Combine like terms: -1x + -10x = -11x 2 + -11x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -11x = -9 + 0 2 + -11x = -9 Add '-2' to each side of the equation. 2 + -2 + -11x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -9 + -2 -11x = -9 + -2 Combine like terms: -9 + -2 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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