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Simplifying 7 = 5(x + 5) + -7x Reorder the terms: 7 = 5(5 + x) + -7x 7 = (5 * 5 + x * 5) + -7x 7 = (25 + 5x) + -7x Combine like terms: 5x + -7x = -2x 7 = 25 + -2x Solving 7 = 25 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 2x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 2x = 25 + 0 7 + 2x = 25 Add '-7' to each side of the equation. 7 + -7 + 2x = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 25 + -7 2x = 25 + -7 Combine like terms: 25 + -7 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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