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Simplifying 2(3x + 6) = 5(-2x + 12) Reorder the terms: 2(6 + 3x) = 5(-2x + 12) (6 * 2 + 3x * 2) = 5(-2x + 12) (12 + 6x) = 5(-2x + 12) Reorder the terms: 12 + 6x = 5(12 + -2x) 12 + 6x = (12 * 5 + -2x * 5) 12 + 6x = (60 + -10x) Solving 12 + 6x = 60 + -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. 12 + 6x + 10x = 60 + -10x + 10x Combine like terms: 6x + 10x = 16x 12 + 16x = 60 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 16x = 60 + 0 12 + 16x = 60 Add '-12' to each side of the equation. 12 + -12 + 16x = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 60 + -12 16x = 60 + -12 Combine like terms: 60 + -12 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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