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Simplifying 17 = 4(x + -4) + -1(x + -9) Reorder the terms: 17 = 4(-4 + x) + -1(x + -9) 17 = (-4 * 4 + x * 4) + -1(x + -9) 17 = (-16 + 4x) + -1(x + -9) Reorder the terms: 17 = -16 + 4x + -1(-9 + x) 17 = -16 + 4x + (-9 * -1 + x * -1) 17 = -16 + 4x + (9 + -1x) Reorder the terms: 17 = -16 + 9 + 4x + -1x Combine like terms: -16 + 9 = -7 17 = -7 + 4x + -1x Combine like terms: 4x + -1x = 3x 17 = -7 + 3x Solving 17 = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -3x = -7 + 0 17 + -3x = -7 Add '-17' to each side of the equation. 17 + -17 + -3x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = -7 + -17 -3x = -7 + -17 Combine like terms: -7 + -17 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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