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Simplifying 5(3x + 2) = 32 + -3x Reorder the terms: 5(2 + 3x) = 32 + -3x (2 * 5 + 3x * 5) = 32 + -3x (10 + 15x) = 32 + -3x Solving 10 + 15x = 32 + -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. 10 + 15x + 3x = 32 + -3x + 3x Combine like terms: 15x + 3x = 18x 10 + 18x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 18x = 32 + 0 10 + 18x = 32 Add '-10' to each side of the equation. 10 + -10 + 18x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 18x = 32 + -10 18x = 32 + -10 Combine like terms: 32 + -10 = 22 18x = 22 Divide each side by '18'. x = 1.222222222 Simplifying x = 1.222222222
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