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Simplifying 5(5x + 9) = 7x Reorder the terms: 5(9 + 5x) = 7x (9 * 5 + 5x * 5) = 7x (45 + 25x) = 7x Solving 45 + 25x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + 25x + -7x = 7x + -7x Combine like terms: 25x + -7x = 18x 45 + 18x = 7x + -7x Combine like terms: 7x + -7x = 0 45 + 18x = 0 Add '-45' to each side of the equation. 45 + -45 + 18x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 18x = 0 + -45 18x = 0 + -45 Combine like terms: 0 + -45 = -45 18x = -45 Divide each side by '18'. x = -2.5 Simplifying x = -2.5
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