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Simplifying 2(x + 3) + -4(x + -2) = 12 Reorder the terms: 2(3 + x) + -4(x + -2) = 12 (3 * 2 + x * 2) + -4(x + -2) = 12 (6 + 2x) + -4(x + -2) = 12 Reorder the terms: 6 + 2x + -4(-2 + x) = 12 6 + 2x + (-2 * -4 + x * -4) = 12 6 + 2x + (8 + -4x) = 12 Reorder the terms: 6 + 8 + 2x + -4x = 12 Combine like terms: 6 + 8 = 14 14 + 2x + -4x = 12 Combine like terms: 2x + -4x = -2x 14 + -2x = 12 Solving 14 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 12 + -14 -2x = 12 + -14 Combine like terms: 12 + -14 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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