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Simplifying 3(2x + 6) = 4(6 + -2x) Reorder the terms: 3(6 + 2x) = 4(6 + -2x) (6 * 3 + 2x * 3) = 4(6 + -2x) (18 + 6x) = 4(6 + -2x) 18 + 6x = (6 * 4 + -2x * 4) 18 + 6x = (24 + -8x) Solving 18 + 6x = 24 + -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 + 6x + 8x = 24 + -8x + 8x Combine like terms: 6x + 8x = 14x 18 + 14x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 14x = 24 + 0 18 + 14x = 24 Add '-18' to each side of the equation. 18 + -18 + 14x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 14x = 24 + -18 14x = 24 + -18 Combine like terms: 24 + -18 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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