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Simplifying 8x + 29 = -3 + -4(x + -5) Reorder the terms: 29 + 8x = -3 + -4(x + -5) Reorder the terms: 29 + 8x = -3 + -4(-5 + x) 29 + 8x = -3 + (-5 * -4 + x * -4) 29 + 8x = -3 + (20 + -4x) Combine like terms: -3 + 20 = 17 29 + 8x = 17 + -4x Solving 29 + 8x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 29 + 8x + 4x = 17 + -4x + 4x Combine like terms: 8x + 4x = 12x 29 + 12x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 29 + 12x = 17 + 0 29 + 12x = 17 Add '-29' to each side of the equation. 29 + -29 + 12x = 17 + -29 Combine like terms: 29 + -29 = 0 0 + 12x = 17 + -29 12x = 17 + -29 Combine like terms: 17 + -29 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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