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Simplifying 3(2x + 5) = 5(3x + 3) Reorder the terms: 3(5 + 2x) = 5(3x + 3) (5 * 3 + 2x * 3) = 5(3x + 3) (15 + 6x) = 5(3x + 3) Reorder the terms: 15 + 6x = 5(3 + 3x) 15 + 6x = (3 * 5 + 3x * 5) 15 + 6x = (15 + 15x) Add '-15' to each side of the equation. 15 + -15 + 6x = 15 + -15 + 15x Combine like terms: 15 + -15 = 0 0 + 6x = 15 + -15 + 15x 6x = 15 + -15 + 15x Combine like terms: 15 + -15 = 0 6x = 0 + 15x 6x = 15x Solving 6x = 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. 6x + -15x = 15x + -15x Combine like terms: 6x + -15x = -9x -9x = 15x + -15x Combine like terms: 15x + -15x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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