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Simplifying 3(x + 6) = 8x + -12 Reorder the terms: 3(6 + x) = 8x + -12 (6 * 3 + x * 3) = 8x + -12 (18 + 3x) = 8x + -12 Reorder the terms: 18 + 3x = -12 + 8x Solving 18 + 3x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x 18 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -5x = -12 + 0 18 + -5x = -12 Add '-18' to each side of the equation. 18 + -18 + -5x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = -12 + -18 -5x = -12 + -18 Combine like terms: -12 + -18 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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