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Simplifying 5(4x + 5) = 8(x + -6) + 9 Reorder the terms: 5(5 + 4x) = 8(x + -6) + 9 (5 * 5 + 4x * 5) = 8(x + -6) + 9 (25 + 20x) = 8(x + -6) + 9 Reorder the terms: 25 + 20x = 8(-6 + x) + 9 25 + 20x = (-6 * 8 + x * 8) + 9 25 + 20x = (-48 + 8x) + 9 Reorder the terms: 25 + 20x = -48 + 9 + 8x Combine like terms: -48 + 9 = -39 25 + 20x = -39 + 8x Solving 25 + 20x = -39 + 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. 25 + 20x + -8x = -39 + 8x + -8x Combine like terms: 20x + -8x = 12x 25 + 12x = -39 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 12x = -39 + 0 25 + 12x = -39 Add '-25' to each side of the equation. 25 + -25 + 12x = -39 + -25 Combine like terms: 25 + -25 = 0 0 + 12x = -39 + -25 12x = -39 + -25 Combine like terms: -39 + -25 = -64 12x = -64 Divide each side by '12'. x = -5.333333333 Simplifying x = -5.333333333
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