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Simplifying 3(x + 3) + -1(x + -1) = 5(x + -5) Reorder the terms: 3(3 + x) + -1(x + -1) = 5(x + -5) (3 * 3 + x * 3) + -1(x + -1) = 5(x + -5) (9 + 3x) + -1(x + -1) = 5(x + -5) Reorder the terms: 9 + 3x + -1(-1 + x) = 5(x + -5) 9 + 3x + (-1 * -1 + x * -1) = 5(x + -5) 9 + 3x + (1 + -1x) = 5(x + -5) Reorder the terms: 9 + 1 + 3x + -1x = 5(x + -5) Combine like terms: 9 + 1 = 10 10 + 3x + -1x = 5(x + -5) Combine like terms: 3x + -1x = 2x 10 + 2x = 5(x + -5) Reorder the terms: 10 + 2x = 5(-5 + x) 10 + 2x = (-5 * 5 + x * 5) 10 + 2x = (-25 + 5x) Solving 10 + 2x = -25 + 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. 10 + 2x + -5x = -25 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = -25 + 0 10 + -3x = -25 Add '-10' to each side of the equation. 10 + -10 + -3x = -25 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -25 + -10 -3x = -25 + -10 Combine like terms: -25 + -10 = -35 -3x = -35 Divide each side by '-3'. x = 11.66666667 Simplifying x = 11.66666667
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