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Simplifying 2(6x + -2) = 5(x + 2) Reorder the terms: 2(-2 + 6x) = 5(x + 2) (-2 * 2 + 6x * 2) = 5(x + 2) (-4 + 12x) = 5(x + 2) Reorder the terms: -4 + 12x = 5(2 + x) -4 + 12x = (2 * 5 + x * 5) -4 + 12x = (10 + 5x) Solving -4 + 12x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 12x + -5x = 10 + 5x + -5x Combine like terms: 12x + -5x = 7x -4 + 7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 7x = 10 + 0 -4 + 7x = 10 Add '4' to each side of the equation. -4 + 4 + 7x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 10 + 4 7x = 10 + 4 Combine like terms: 10 + 4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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