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Simplifying 12x + -2(3x + -2) = 5(x + 2) Reorder the terms: 12x + -2(-2 + 3x) = 5(x + 2) 12x + (-2 * -2 + 3x * -2) = 5(x + 2) 12x + (4 + -6x) = 5(x + 2) Reorder the terms: 4 + 12x + -6x = 5(x + 2) Combine like terms: 12x + -6x = 6x 4 + 6x = 5(x + 2) Reorder the terms: 4 + 6x = 5(2 + x) 4 + 6x = (2 * 5 + x * 5) 4 + 6x = (10 + 5x) Solving 4 + 6x = 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 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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