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Simplifying 5(6x + 15) = 5(9 + 2x) Reorder the terms: 5(15 + 6x) = 5(9 + 2x) (15 * 5 + 6x * 5) = 5(9 + 2x) (75 + 30x) = 5(9 + 2x) 75 + 30x = (9 * 5 + 2x * 5) 75 + 30x = (45 + 10x) Solving 75 + 30x = 45 + 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. 75 + 30x + -10x = 45 + 10x + -10x Combine like terms: 30x + -10x = 20x 75 + 20x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 75 + 20x = 45 + 0 75 + 20x = 45 Add '-75' to each side of the equation. 75 + -75 + 20x = 45 + -75 Combine like terms: 75 + -75 = 0 0 + 20x = 45 + -75 20x = 45 + -75 Combine like terms: 45 + -75 = -30 20x = -30 Divide each side by '20'. x = -1.5 Simplifying x = -1.5
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