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Simplifying 3(3x + 1) = 15 + 8x Reorder the terms: 3(1 + 3x) = 15 + 8x (1 * 3 + 3x * 3) = 15 + 8x (3 + 9x) = 15 + 8x Solving 3 + 9x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 9x + -8x = 15 + 8x + -8x Combine like terms: 9x + -8x = 1x 3 + 1x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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