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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 = 28 12x = 28 Divide each side by '12'. x = 2.333333333 Simplifying x = 2.333333333
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