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Simplifying 7(4x + 2) = 5(2x + 4) Reorder the terms: 7(2 + 4x) = 5(2x + 4) (2 * 7 + 4x * 7) = 5(2x + 4) (14 + 28x) = 5(2x + 4) Reorder the terms: 14 + 28x = 5(4 + 2x) 14 + 28x = (4 * 5 + 2x * 5) 14 + 28x = (20 + 10x) Solving 14 + 28x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 28x + -10x = 20 + 10x + -10x Combine like terms: 28x + -10x = 18x 14 + 18x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + 18x = 20 + 0 14 + 18x = 20 Add '-14' to each side of the equation. 14 + -14 + 18x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = 20 + -14 18x = 20 + -14 Combine like terms: 20 + -14 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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