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Simplifying 12(6x + 2) = 14(8x + 20) Reorder the terms: 12(2 + 6x) = 14(8x + 20) (2 * 12 + 6x * 12) = 14(8x + 20) (24 + 72x) = 14(8x + 20) Reorder the terms: 24 + 72x = 14(20 + 8x) 24 + 72x = (20 * 14 + 8x * 14) 24 + 72x = (280 + 112x) Solving 24 + 72x = 280 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 24 + 72x + -112x = 280 + 112x + -112x Combine like terms: 72x + -112x = -40x 24 + -40x = 280 + 112x + -112x Combine like terms: 112x + -112x = 0 24 + -40x = 280 + 0 24 + -40x = 280 Add '-24' to each side of the equation. 24 + -24 + -40x = 280 + -24 Combine like terms: 24 + -24 = 0 0 + -40x = 280 + -24 -40x = 280 + -24 Combine like terms: 280 + -24 = 256 -40x = 256 Divide each side by '-40'. x = -6.4 Simplifying x = -6.4
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