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Simplifying 5(3 + -2x) = 6(5 + -2x) (3 * 5 + -2x * 5) = 6(5 + -2x) (15 + -10x) = 6(5 + -2x) 15 + -10x = (5 * 6 + -2x * 6) 15 + -10x = (30 + -12x) Solving 15 + -10x = 30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15 + -10x + 12x = 30 + -12x + 12x Combine like terms: -10x + 12x = 2x 15 + 2x = 30 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 2x = 30 + 0 15 + 2x = 30 Add '-15' to each side of the equation. 15 + -15 + 2x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 30 + -15 2x = 30 + -15 Combine like terms: 30 + -15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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