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Simplifying 5(3x + 2) = 9x + 15 Reorder the terms: 5(2 + 3x) = 9x + 15 (2 * 5 + 3x * 5) = 9x + 15 (10 + 15x) = 9x + 15 Reorder the terms: 10 + 15x = 15 + 9x Solving 10 + 15x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 15x + -9x = 15 + 9x + -9x Combine like terms: 15x + -9x = 6x 10 + 6x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 6x = 15 + 0 10 + 6x = 15 Add '-10' to each side of the equation. 10 + -10 + 6x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 15 + -10 6x = 15 + -10 Combine like terms: 15 + -10 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333
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