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Simplifying 5(x + 5) = 8(x + -9) Reorder the terms: 5(5 + x) = 8(x + -9) (5 * 5 + x * 5) = 8(x + -9) (25 + 5x) = 8(x + -9) Reorder the terms: 25 + 5x = 8(-9 + x) 25 + 5x = (-9 * 8 + x * 8) 25 + 5x = (-72 + 8x) Solving 25 + 5x = -72 + 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 + 5x + -8x = -72 + 8x + -8x Combine like terms: 5x + -8x = -3x 25 + -3x = -72 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + -3x = -72 + 0 25 + -3x = -72 Add '-25' to each side of the equation. 25 + -25 + -3x = -72 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = -72 + -25 -3x = -72 + -25 Combine like terms: -72 + -25 = -97 -3x = -97 Divide each side by '-3'. x = 32.33333333 Simplifying x = 32.33333333
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