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Simplifying 5(5 + 4x) = 7(5 + 3x) (5 * 5 + 4x * 5) = 7(5 + 3x) (25 + 20x) = 7(5 + 3x) 25 + 20x = (5 * 7 + 3x * 7) 25 + 20x = (35 + 21x) Solving 25 + 20x = 35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 25 + 20x + -21x = 35 + 21x + -21x Combine like terms: 20x + -21x = -1x 25 + -1x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 25 + -1x = 35 + 0 25 + -1x = 35 Add '-25' to each side of the equation. 25 + -25 + -1x = 35 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 35 + -25 -1x = 35 + -25 Combine like terms: 35 + -25 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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