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Simplifying 5(x + 5) = 7x + 31 Reorder the terms: 5(5 + x) = 7x + 31 (5 * 5 + x * 5) = 7x + 31 (25 + 5x) = 7x + 31 Reorder the terms: 25 + 5x = 31 + 7x Solving 25 + 5x = 31 + 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. 25 + 5x + -7x = 31 + 7x + -7x Combine like terms: 5x + -7x = -2x 25 + -2x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -2x = 31 + 0 25 + -2x = 31 Add '-25' to each side of the equation. 25 + -25 + -2x = 31 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 31 + -25 -2x = 31 + -25 Combine like terms: 31 + -25 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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