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Simplifying 3(2x + 3) = 5(4 + 3x) Reorder the terms: 3(3 + 2x) = 5(4 + 3x) (3 * 3 + 2x * 3) = 5(4 + 3x) (9 + 6x) = 5(4 + 3x) 9 + 6x = (4 * 5 + 3x * 5) 9 + 6x = (20 + 15x) Solving 9 + 6x = 20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + 6x + -15x = 20 + 15x + -15x Combine like terms: 6x + -15x = -9x 9 + -9x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -9x = 20 + 0 9 + -9x = 20 Add '-9' to each side of the equation. 9 + -9 + -9x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 20 + -9 -9x = 20 + -9 Combine like terms: 20 + -9 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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