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Simplifying 7(2x + 4) = 5(2x + 6) Reorder the terms: 7(4 + 2x) = 5(2x + 6) (4 * 7 + 2x * 7) = 5(2x + 6) (28 + 14x) = 5(2x + 6) Reorder the terms: 28 + 14x = 5(6 + 2x) 28 + 14x = (6 * 5 + 2x * 5) 28 + 14x = (30 + 10x) Solving 28 + 14x = 30 + 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. 28 + 14x + -10x = 30 + 10x + -10x Combine like terms: 14x + -10x = 4x 28 + 4x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + 4x = 30 + 0 28 + 4x = 30 Add '-28' to each side of the equation. 28 + -28 + 4x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 30 + -28 4x = 30 + -28 Combine like terms: 30 + -28 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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