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Simplifying 17 + -4(x + -3) = -1(x + -8) Reorder the terms: 17 + -4(-3 + x) = -1(x + -8) 17 + (-3 * -4 + x * -4) = -1(x + -8) 17 + (12 + -4x) = -1(x + -8) Combine like terms: 17 + 12 = 29 29 + -4x = -1(x + -8) Reorder the terms: 29 + -4x = -1(-8 + x) 29 + -4x = (-8 * -1 + x * -1) 29 + -4x = (8 + -1x) Solving 29 + -4x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 29 + -4x + x = 8 + -1x + x Combine like terms: -4x + x = -3x 29 + -3x = 8 + -1x + x Combine like terms: -1x + x = 0 29 + -3x = 8 + 0 29 + -3x = 8 Add '-29' to each side of the equation. 29 + -29 + -3x = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = 8 + -29 -3x = 8 + -29 Combine like terms: 8 + -29 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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