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Simplifying 4(1x + 6) + -2(1x + 3) = 12 Reorder the terms: 4(6 + 1x) + -2(1x + 3) = 12 (6 * 4 + 1x * 4) + -2(1x + 3) = 12 (24 + 4x) + -2(1x + 3) = 12 Reorder the terms: 24 + 4x + -2(3 + 1x) = 12 24 + 4x + (3 * -2 + 1x * -2) = 12 24 + 4x + (-6 + -2x) = 12 Reorder the terms: 24 + -6 + 4x + -2x = 12 Combine like terms: 24 + -6 = 18 18 + 4x + -2x = 12 Combine like terms: 4x + -2x = 2x 18 + 2x = 12 Solving 18 + 2x = 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 + 2x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 12 + -18 2x = 12 + -18 Combine like terms: 12 + -18 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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