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Simplifying 3(x + 3) + 3x = 5(x + 4) Reorder the terms: 3(3 + x) + 3x = 5(x + 4) (3 * 3 + x * 3) + 3x = 5(x + 4) (9 + 3x) + 3x = 5(x + 4) Combine like terms: 3x + 3x = 6x 9 + 6x = 5(x + 4) Reorder the terms: 9 + 6x = 5(4 + x) 9 + 6x = (4 * 5 + x * 5) 9 + 6x = (20 + 5x) Solving 9 + 6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = 20 + 0 9 + 1x = 20 Add '-9' to each side of the equation. 9 + -9 + 1x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 20 + -9 1x = 20 + -9 Combine like terms: 20 + -9 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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