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