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Simplifying 4(3x + 7) = 2(5x + 25) Reorder the terms: 4(7 + 3x) = 2(5x + 25) (7 * 4 + 3x * 4) = 2(5x + 25) (28 + 12x) = 2(5x + 25) Reorder the terms: 28 + 12x = 2(25 + 5x) 28 + 12x = (25 * 2 + 5x * 2) 28 + 12x = (50 + 10x) Solving 28 + 12x = 50 + 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 + 12x + -10x = 50 + 10x + -10x Combine like terms: 12x + -10x = 2x 28 + 2x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + 2x = 50 + 0 28 + 2x = 50 Add '-28' to each side of the equation. 28 + -28 + 2x = 50 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 50 + -28 2x = 50 + -28 Combine like terms: 50 + -28 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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