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Simplifying 5(3x + 9) = 10x + 15 Reorder the terms: 5(9 + 3x) = 10x + 15 (9 * 5 + 3x * 5) = 10x + 15 (45 + 15x) = 10x + 15 Reorder the terms: 45 + 15x = 15 + 10x Solving 45 + 15x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 45 + 15x + -10x = 15 + 10x + -10x Combine like terms: 15x + -10x = 5x 45 + 5x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + 5x = 15 + 0 45 + 5x = 15 Add '-45' to each side of the equation. 45 + -45 + 5x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 15 + -45 5x = 15 + -45 Combine like terms: 15 + -45 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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