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Simplifying -5(x + -4) + -3 = -8(x + 8) Reorder the terms: -5(-4 + x) + -3 = -8(x + 8) (-4 * -5 + x * -5) + -3 = -8(x + 8) (20 + -5x) + -3 = -8(x + 8) Reorder the terms: 20 + -3 + -5x = -8(x + 8) Combine like terms: 20 + -3 = 17 17 + -5x = -8(x + 8) Reorder the terms: 17 + -5x = -8(8 + x) 17 + -5x = (8 * -8 + x * -8) 17 + -5x = (-64 + -8x) Solving 17 + -5x = -64 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 17 + -5x + 8x = -64 + -8x + 8x Combine like terms: -5x + 8x = 3x 17 + 3x = -64 + -8x + 8x Combine like terms: -8x + 8x = 0 17 + 3x = -64 + 0 17 + 3x = -64 Add '-17' to each side of the equation. 17 + -17 + 3x = -64 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = -64 + -17 3x = -64 + -17 Combine like terms: -64 + -17 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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