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Simplifying 3(3x + 5) = 3(5x + 1) Reorder the terms: 3(5 + 3x) = 3(5x + 1) (5 * 3 + 3x * 3) = 3(5x + 1) (15 + 9x) = 3(5x + 1) Reorder the terms: 15 + 9x = 3(1 + 5x) 15 + 9x = (1 * 3 + 5x * 3) 15 + 9x = (3 + 15x) Solving 15 + 9x = 3 + 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. 15 + 9x + -15x = 3 + 15x + -15x Combine like terms: 9x + -15x = -6x 15 + -6x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -6x = 3 + 0 15 + -6x = 3 Add '-15' to each side of the equation. 15 + -15 + -6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 3 + -15 -6x = 3 + -15 Combine like terms: 3 + -15 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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