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Simplifying 17 = 3(x + -3) + -1(x + -8) Reorder the terms: 17 = 3(-3 + x) + -1(x + -8) 17 = (-3 * 3 + x * 3) + -1(x + -8) 17 = (-9 + 3x) + -1(x + -8) Reorder the terms: 17 = -9 + 3x + -1(-8 + x) 17 = -9 + 3x + (-8 * -1 + x * -1) 17 = -9 + 3x + (8 + -1x) Reorder the terms: 17 = -9 + 8 + 3x + -1x Combine like terms: -9 + 8 = -1 17 = -1 + 3x + -1x Combine like terms: 3x + -1x = 2x 17 = -1 + 2x Solving 17 = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -2x = -1 + 0 17 + -2x = -1 Add '-17' to each side of the equation. 17 + -17 + -2x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -1 + -17 -2x = -1 + -17 Combine like terms: -1 + -17 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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