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Simplifying 8(x + 5) = -4(x + 17) Reorder the terms: 8(5 + x) = -4(x + 17) (5 * 8 + x * 8) = -4(x + 17) (40 + 8x) = -4(x + 17) Reorder the terms: 40 + 8x = -4(17 + x) 40 + 8x = (17 * -4 + x * -4) 40 + 8x = (-68 + -4x) Solving 40 + 8x = -68 + -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. 40 + 8x + 4x = -68 + -4x + 4x Combine like terms: 8x + 4x = 12x 40 + 12x = -68 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + 12x = -68 + 0 40 + 12x = -68 Add '-40' to each side of the equation. 40 + -40 + 12x = -68 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = -68 + -40 12x = -68 + -40 Combine like terms: -68 + -40 = -108 12x = -108 Divide each side by '12'. x = -9 Simplifying x = -9
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