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