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Simplifying 3(x + 8) = 5(x + 3) Reorder the terms: 3(8 + x) = 5(x + 3) (8 * 3 + x * 3) = 5(x + 3) (24 + 3x) = 5(x + 3) Reorder the terms: 24 + 3x = 5(3 + x) 24 + 3x = (3 * 5 + x * 5) 24 + 3x = (15 + 5x) Solving 24 + 3x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 3x + -5x = 15 + 5x + -5x Combine like terms: 3x + -5x = -2x 24 + -2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -2x = 15 + 0 24 + -2x = 15 Add '-24' to each side of the equation. 24 + -24 + -2x = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 15 + -24 -2x = 15 + -24 Combine like terms: 15 + -24 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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