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Simplifying 2(x + -1) + -1(3x + -5) = 2(4x + -1) + -13 Reorder the terms: 2(-1 + x) + -1(3x + -5) = 2(4x + -1) + -13 (-1 * 2 + x * 2) + -1(3x + -5) = 2(4x + -1) + -13 (-2 + 2x) + -1(3x + -5) = 2(4x + -1) + -13 Reorder the terms: -2 + 2x + -1(-5 + 3x) = 2(4x + -1) + -13 -2 + 2x + (-5 * -1 + 3x * -1) = 2(4x + -1) + -13 -2 + 2x + (5 + -3x) = 2(4x + -1) + -13 Reorder the terms: -2 + 5 + 2x + -3x = 2(4x + -1) + -13 Combine like terms: -2 + 5 = 3 3 + 2x + -3x = 2(4x + -1) + -13 Combine like terms: 2x + -3x = -1x 3 + -1x = 2(4x + -1) + -13 Reorder the terms: 3 + -1x = 2(-1 + 4x) + -13 3 + -1x = (-1 * 2 + 4x * 2) + -13 3 + -1x = (-2 + 8x) + -13 Reorder the terms: 3 + -1x = -2 + -13 + 8x Combine like terms: -2 + -13 = -15 3 + -1x = -15 + 8x Solving 3 + -1x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + -1x + -8x = -15 + 8x + -8x Combine like terms: -1x + -8x = -9x 3 + -9x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -9x = -15 + 0 3 + -9x = -15 Add '-3' to each side of the equation. 3 + -3 + -9x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -15 + -3 -9x = -15 + -3 Combine like terms: -15 + -3 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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