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Simplifying 3(x + 6) = 4(x + 5) + 12 Reorder the terms: 3(6 + x) = 4(x + 5) + 12 (6 * 3 + x * 3) = 4(x + 5) + 12 (18 + 3x) = 4(x + 5) + 12 Reorder the terms: 18 + 3x = 4(5 + x) + 12 18 + 3x = (5 * 4 + x * 4) + 12 18 + 3x = (20 + 4x) + 12 Reorder the terms: 18 + 3x = 20 + 12 + 4x Combine like terms: 20 + 12 = 32 18 + 3x = 32 + 4x Solving 18 + 3x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = 32 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = 32 + 0 18 + -1x = 32 Add '-18' to each side of the equation. 18 + -18 + -1x = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 32 + -18 -1x = 32 + -18 Combine like terms: 32 + -18 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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