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Simplifying 12 + -1(2x + 2) = 2(x + 2) + 3x Reorder the terms: 12 + -1(2 + 2x) = 2(x + 2) + 3x 12 + (2 * -1 + 2x * -1) = 2(x + 2) + 3x 12 + (-2 + -2x) = 2(x + 2) + 3x Combine like terms: 12 + -2 = 10 10 + -2x = 2(x + 2) + 3x Reorder the terms: 10 + -2x = 2(2 + x) + 3x 10 + -2x = (2 * 2 + x * 2) + 3x 10 + -2x = (4 + 2x) + 3x Combine like terms: 2x + 3x = 5x 10 + -2x = 4 + 5x Solving 10 + -2x = 4 + 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. 10 + -2x + -5x = 4 + 5x + -5x Combine like terms: -2x + -5x = -7x 10 + -7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -7x = 4 + 0 10 + -7x = 4 Add '-10' to each side of the equation. 10 + -10 + -7x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 4 + -10 -7x = 4 + -10 Combine like terms: 4 + -10 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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