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Simplifying 2(x + 6) + -2(4x + -3) = 12 Reorder the terms: 2(6 + x) + -2(4x + -3) = 12 (6 * 2 + x * 2) + -2(4x + -3) = 12 (12 + 2x) + -2(4x + -3) = 12 Reorder the terms: 12 + 2x + -2(-3 + 4x) = 12 12 + 2x + (-3 * -2 + 4x * -2) = 12 12 + 2x + (6 + -8x) = 12 Reorder the terms: 12 + 6 + 2x + -8x = 12 Combine like terms: 12 + 6 = 18 18 + 2x + -8x = 12 Combine like terms: 2x + -8x = -6x 18 + -6x = 12 Solving 18 + -6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -6x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 12 + -18 -6x = 12 + -18 Combine like terms: 12 + -18 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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