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Simplifying 2(x + 1) + -3(x + -5) = 5(x + 7) Reorder the terms: 2(1 + x) + -3(x + -5) = 5(x + 7) (1 * 2 + x * 2) + -3(x + -5) = 5(x + 7) (2 + 2x) + -3(x + -5) = 5(x + 7) Reorder the terms: 2 + 2x + -3(-5 + x) = 5(x + 7) 2 + 2x + (-5 * -3 + x * -3) = 5(x + 7) 2 + 2x + (15 + -3x) = 5(x + 7) Reorder the terms: 2 + 15 + 2x + -3x = 5(x + 7) Combine like terms: 2 + 15 = 17 17 + 2x + -3x = 5(x + 7) Combine like terms: 2x + -3x = -1x 17 + -1x = 5(x + 7) Reorder the terms: 17 + -1x = 5(7 + x) 17 + -1x = (7 * 5 + x * 5) 17 + -1x = (35 + 5x) Solving 17 + -1x = 35 + 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. 17 + -1x + -5x = 35 + 5x + -5x Combine like terms: -1x + -5x = -6x 17 + -6x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -6x = 35 + 0 17 + -6x = 35 Add '-17' to each side of the equation. 17 + -17 + -6x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 35 + -17 -6x = 35 + -17 Combine like terms: 35 + -17 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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