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Simplifying 7(2x + 4) = 5(3x + 5) Reorder the terms: 7(4 + 2x) = 5(3x + 5) (4 * 7 + 2x * 7) = 5(3x + 5) (28 + 14x) = 5(3x + 5) Reorder the terms: 28 + 14x = 5(5 + 3x) 28 + 14x = (5 * 5 + 3x * 5) 28 + 14x = (25 + 15x) Solving 28 + 14x = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 28 + 14x + -15x = 25 + 15x + -15x Combine like terms: 14x + -15x = -1x 28 + -1x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 28 + -1x = 25 + 0 28 + -1x = 25 Add '-28' to each side of the equation. 28 + -28 + -1x = 25 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 25 + -28 -1x = 25 + -28 Combine like terms: 25 + -28 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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