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Simplifying -2(x + -4) + 3(x + 1) = 17 Reorder the terms: -2(-4 + x) + 3(x + 1) = 17 (-4 * -2 + x * -2) + 3(x + 1) = 17 (8 + -2x) + 3(x + 1) = 17 Reorder the terms: 8 + -2x + 3(1 + x) = 17 8 + -2x + (1 * 3 + x * 3) = 17 8 + -2x + (3 + 3x) = 17 Reorder the terms: 8 + 3 + -2x + 3x = 17 Combine like terms: 8 + 3 = 11 11 + -2x + 3x = 17 Combine like terms: -2x + 3x = 1x 11 + 1x = 17 Solving 11 + 1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 17 + -11 1x = 17 + -11 Combine like terms: 17 + -11 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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