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Simplifying -4(5x + -5) + 9x = 4(x + 8) Reorder the terms: -4(-5 + 5x) + 9x = 4(x + 8) (-5 * -4 + 5x * -4) + 9x = 4(x + 8) (20 + -20x) + 9x = 4(x + 8) Combine like terms: -20x + 9x = -11x 20 + -11x = 4(x + 8) Reorder the terms: 20 + -11x = 4(8 + x) 20 + -11x = (8 * 4 + x * 4) 20 + -11x = (32 + 4x) Solving 20 + -11x = 32 + 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. 20 + -11x + -4x = 32 + 4x + -4x Combine like terms: -11x + -4x = -15x 20 + -15x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -15x = 32 + 0 20 + -15x = 32 Add '-20' to each side of the equation. 20 + -20 + -15x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = 32 + -20 -15x = 32 + -20 Combine like terms: 32 + -20 = 12 -15x = 12 Divide each side by '-15'. x = -0.8 Simplifying x = -0.8
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