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Simplifying 2(3x + 12) = 8x + 6 Reorder the terms: 2(12 + 3x) = 8x + 6 (12 * 2 + 3x * 2) = 8x + 6 (24 + 6x) = 8x + 6 Reorder the terms: 24 + 6x = 6 + 8x Solving 24 + 6x = 6 + 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. 24 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x 24 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -2x = 6 + 0 24 + -2x = 6 Add '-24' to each side of the equation. 24 + -24 + -2x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 6 + -24 -2x = 6 + -24 Combine like terms: 6 + -24 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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