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Simplifying 5(x + 9) = 3(x + 8) Reorder the terms: 5(9 + x) = 3(x + 8) (9 * 5 + x * 5) = 3(x + 8) (45 + 5x) = 3(x + 8) Reorder the terms: 45 + 5x = 3(8 + x) 45 + 5x = (8 * 3 + x * 3) 45 + 5x = (24 + 3x) Solving 45 + 5x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x 45 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 2x = 24 + 0 45 + 2x = 24 Add '-45' to each side of the equation. 45 + -45 + 2x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 24 + -45 2x = 24 + -45 Combine like terms: 24 + -45 = -21 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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