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Simplifying 3(x + -1) + -1(x + 3) = 5(x + -2) Reorder the terms: 3(-1 + x) + -1(x + 3) = 5(x + -2) (-1 * 3 + x * 3) + -1(x + 3) = 5(x + -2) (-3 + 3x) + -1(x + 3) = 5(x + -2) Reorder the terms: -3 + 3x + -1(3 + x) = 5(x + -2) -3 + 3x + (3 * -1 + x * -1) = 5(x + -2) -3 + 3x + (-3 + -1x) = 5(x + -2) Reorder the terms: -3 + -3 + 3x + -1x = 5(x + -2) Combine like terms: -3 + -3 = -6 -6 + 3x + -1x = 5(x + -2) Combine like terms: 3x + -1x = 2x -6 + 2x = 5(x + -2) Reorder the terms: -6 + 2x = 5(-2 + x) -6 + 2x = (-2 * 5 + x * 5) -6 + 2x = (-10 + 5x) Solving -6 + 2x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 2x + -5x = -10 + 5x + -5x Combine like terms: 2x + -5x = -3x -6 + -3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -3x = -10 + 0 -6 + -3x = -10 Add '6' to each side of the equation. -6 + 6 + -3x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -10 + 6 -3x = -10 + 6 Combine like terms: -10 + 6 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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