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Simplifying 6(x + 4) + -3(x + 2) = 2(x + 12) Reorder the terms: 6(4 + x) + -3(x + 2) = 2(x + 12) (4 * 6 + x * 6) + -3(x + 2) = 2(x + 12) (24 + 6x) + -3(x + 2) = 2(x + 12) Reorder the terms: 24 + 6x + -3(2 + x) = 2(x + 12) 24 + 6x + (2 * -3 + x * -3) = 2(x + 12) 24 + 6x + (-6 + -3x) = 2(x + 12) Reorder the terms: 24 + -6 + 6x + -3x = 2(x + 12) Combine like terms: 24 + -6 = 18 18 + 6x + -3x = 2(x + 12) Combine like terms: 6x + -3x = 3x 18 + 3x = 2(x + 12) Reorder the terms: 18 + 3x = 2(12 + x) 18 + 3x = (12 * 2 + x * 2) 18 + 3x = (24 + 2x) Solving 18 + 3x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 3x + -2x = 24 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = 24 + 0 18 + 1x = 24 Add '-18' to each side of the equation. 18 + -18 + 1x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 24 + -18 1x = 24 + -18 Combine like terms: 24 + -18 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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