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Simplifying 3(x + 5) + -1(5x + -2) = 5(2x + -7) Reorder the terms: 3(5 + x) + -1(5x + -2) = 5(2x + -7) (5 * 3 + x * 3) + -1(5x + -2) = 5(2x + -7) (15 + 3x) + -1(5x + -2) = 5(2x + -7) Reorder the terms: 15 + 3x + -1(-2 + 5x) = 5(2x + -7) 15 + 3x + (-2 * -1 + 5x * -1) = 5(2x + -7) 15 + 3x + (2 + -5x) = 5(2x + -7) Reorder the terms: 15 + 2 + 3x + -5x = 5(2x + -7) Combine like terms: 15 + 2 = 17 17 + 3x + -5x = 5(2x + -7) Combine like terms: 3x + -5x = -2x 17 + -2x = 5(2x + -7) Reorder the terms: 17 + -2x = 5(-7 + 2x) 17 + -2x = (-7 * 5 + 2x * 5) 17 + -2x = (-35 + 10x) Solving 17 + -2x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + -2x + -10x = -35 + 10x + -10x Combine like terms: -2x + -10x = -12x 17 + -12x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -12x = -35 + 0 17 + -12x = -35 Add '-17' to each side of the equation. 17 + -17 + -12x = -35 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = -35 + -17 -12x = -35 + -17 Combine like terms: -35 + -17 = -52 -12x = -52 Divide each side by '-12'. x = 4.333333333 Simplifying x = 4.333333333
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