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Simplifying 5(2x + -6) = 2(5 + -1x) Reorder the terms: 5(-6 + 2x) = 2(5 + -1x) (-6 * 5 + 2x * 5) = 2(5 + -1x) (-30 + 10x) = 2(5 + -1x) -30 + 10x = (5 * 2 + -1x * 2) -30 + 10x = (10 + -2x) Solving -30 + 10x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 10x + 2x = 10 + -2x + 2x Combine like terms: 10x + 2x = 12x -30 + 12x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 12x = 10 + 0 -30 + 12x = 10 Add '30' to each side of the equation. -30 + 30 + 12x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 10 + 30 12x = 10 + 30 Combine like terms: 10 + 30 = 40 12x = 40 Divide each side by '12'. x = 3.333333333 Simplifying x = 3.333333333
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