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Simplifying 5(x + 5) + x = 2(x + 5) + 7 Reorder the terms: 5(5 + x) + x = 2(x + 5) + 7 (5 * 5 + x * 5) + x = 2(x + 5) + 7 (25 + 5x) + x = 2(x + 5) + 7 Combine like terms: 5x + x = 6x 25 + 6x = 2(x + 5) + 7 Reorder the terms: 25 + 6x = 2(5 + x) + 7 25 + 6x = (5 * 2 + x * 2) + 7 25 + 6x = (10 + 2x) + 7 Reorder the terms: 25 + 6x = 10 + 7 + 2x Combine like terms: 10 + 7 = 17 25 + 6x = 17 + 2x Solving 25 + 6x = 17 + 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. 25 + 6x + -2x = 17 + 2x + -2x Combine like terms: 6x + -2x = 4x 25 + 4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 4x = 17 + 0 25 + 4x = 17 Add '-25' to each side of the equation. 25 + -25 + 4x = 17 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 17 + -25 4x = 17 + -25 Combine like terms: 17 + -25 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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