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Simplifying (3x + -9) + -1(2x + 4) = (5x + -2) + -1(x + -4) Reorder the terms: (-9 + 3x) + -1(2x + 4) = (5x + -2) + -1(x + -4) Remove parenthesis around (-9 + 3x) -9 + 3x + -1(2x + 4) = (5x + -2) + -1(x + -4) Reorder the terms: -9 + 3x + -1(4 + 2x) = (5x + -2) + -1(x + -4) -9 + 3x + (4 * -1 + 2x * -1) = (5x + -2) + -1(x + -4) -9 + 3x + (-4 + -2x) = (5x + -2) + -1(x + -4) Reorder the terms: -9 + -4 + 3x + -2x = (5x + -2) + -1(x + -4) Combine like terms: -9 + -4 = -13 -13 + 3x + -2x = (5x + -2) + -1(x + -4) Combine like terms: 3x + -2x = 1x -13 + 1x = (5x + -2) + -1(x + -4) Reorder the terms: -13 + 1x = (-2 + 5x) + -1(x + -4) Remove parenthesis around (-2 + 5x) -13 + 1x = -2 + 5x + -1(x + -4) Reorder the terms: -13 + 1x = -2 + 5x + -1(-4 + x) -13 + 1x = -2 + 5x + (-4 * -1 + x * -1) -13 + 1x = -2 + 5x + (4 + -1x) Reorder the terms: -13 + 1x = -2 + 4 + 5x + -1x Combine like terms: -2 + 4 = 2 -13 + 1x = 2 + 5x + -1x Combine like terms: 5x + -1x = 4x -13 + 1x = 2 + 4x Solving -13 + 1x = 2 + 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. -13 + 1x + -4x = 2 + 4x + -4x Combine like terms: 1x + -4x = -3x -13 + -3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -3x = 2 + 0 -13 + -3x = 2 Add '13' to each side of the equation. -13 + 13 + -3x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 2 + 13 -3x = 2 + 13 Combine like terms: 2 + 13 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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