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Simplifying (x + -2) + -1(x + 3) + -1(x + -2) = 5(x + -3) + -2(x + 1) Reorder the terms: (-2 + x) + -1(x + 3) + -1(x + -2) = 5(x + -3) + -2(x + 1) Remove parenthesis around (-2 + x) -2 + x + -1(x + 3) + -1(x + -2) = 5(x + -3) + -2(x + 1) Reorder the terms: -2 + x + -1(3 + x) + -1(x + -2) = 5(x + -3) + -2(x + 1) -2 + x + (3 * -1 + x * -1) + -1(x + -2) = 5(x + -3) + -2(x + 1) -2 + x + (-3 + -1x) + -1(x + -2) = 5(x + -3) + -2(x + 1) Reorder the terms: -2 + x + -3 + -1x + -1(-2 + x) = 5(x + -3) + -2(x + 1) -2 + x + -3 + -1x + (-2 * -1 + x * -1) = 5(x + -3) + -2(x + 1) -2 + x + -3 + -1x + (2 + -1x) = 5(x + -3) + -2(x + 1) Reorder the terms: -2 + -3 + 2 + x + -1x + -1x = 5(x + -3) + -2(x + 1) Combine like terms: -2 + -3 = -5 -5 + 2 + x + -1x + -1x = 5(x + -3) + -2(x + 1) Combine like terms: -5 + 2 = -3 -3 + x + -1x + -1x = 5(x + -3) + -2(x + 1) Combine like terms: x + -1x = 0 -3 + 0 + -1x = 5(x + -3) + -2(x + 1) -3 + -1x = 5(x + -3) + -2(x + 1) Reorder the terms: -3 + -1x = 5(-3 + x) + -2(x + 1) -3 + -1x = (-3 * 5 + x * 5) + -2(x + 1) -3 + -1x = (-15 + 5x) + -2(x + 1) Reorder the terms: -3 + -1x = -15 + 5x + -2(1 + x) -3 + -1x = -15 + 5x + (1 * -2 + x * -2) -3 + -1x = -15 + 5x + (-2 + -2x) Reorder the terms: -3 + -1x = -15 + -2 + 5x + -2x Combine like terms: -15 + -2 = -17 -3 + -1x = -17 + 5x + -2x Combine like terms: 5x + -2x = 3x -3 + -1x = -17 + 3x Solving -3 + -1x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + -1x + -3x = -17 + 3x + -3x Combine like terms: -1x + -3x = -4x -3 + -4x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -4x = -17 + 0 -3 + -4x = -17 Add '3' to each side of the equation. -3 + 3 + -4x = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -17 + 3 -4x = -17 + 3 Combine like terms: -17 + 3 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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