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Simplifying 5(x + 5) + 2 = -2(x + -7) + -1 Reorder the terms: 5(5 + x) + 2 = -2(x + -7) + -1 (5 * 5 + x * 5) + 2 = -2(x + -7) + -1 (25 + 5x) + 2 = -2(x + -7) + -1 Reorder the terms: 25 + 2 + 5x = -2(x + -7) + -1 Combine like terms: 25 + 2 = 27 27 + 5x = -2(x + -7) + -1 Reorder the terms: 27 + 5x = -2(-7 + x) + -1 27 + 5x = (-7 * -2 + x * -2) + -1 27 + 5x = (14 + -2x) + -1 Reorder the terms: 27 + 5x = 14 + -1 + -2x Combine like terms: 14 + -1 = 13 27 + 5x = 13 + -2x Solving 27 + 5x = 13 + -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. 27 + 5x + 2x = 13 + -2x + 2x Combine like terms: 5x + 2x = 7x 27 + 7x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 7x = 13 + 0 27 + 7x = 13 Add '-27' to each side of the equation. 27 + -27 + 7x = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 13 + -27 7x = 13 + -27 Combine like terms: 13 + -27 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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