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Simplifying 3(8 + -3x) = 5(2 + x) (8 * 3 + -3x * 3) = 5(2 + x) (24 + -9x) = 5(2 + x) 24 + -9x = (2 * 5 + x * 5) 24 + -9x = (10 + 5x) Solving 24 + -9x = 10 + 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 + -9x + -5x = 10 + 5x + -5x Combine like terms: -9x + -5x = -14x 24 + -14x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -14x = 10 + 0 24 + -14x = 10 Add '-24' to each side of the equation. 24 + -24 + -14x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = 10 + -24 -14x = 10 + -24 Combine like terms: 10 + -24 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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