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Simplifying 5(x + 5) + 4 = -2(x + -8) + -1 Reorder the terms: 5(5 + x) + 4 = -2(x + -8) + -1 (5 * 5 + x * 5) + 4 = -2(x + -8) + -1 (25 + 5x) + 4 = -2(x + -8) + -1 Reorder the terms: 25 + 4 + 5x = -2(x + -8) + -1 Combine like terms: 25 + 4 = 29 29 + 5x = -2(x + -8) + -1 Reorder the terms: 29 + 5x = -2(-8 + x) + -1 29 + 5x = (-8 * -2 + x * -2) + -1 29 + 5x = (16 + -2x) + -1 Reorder the terms: 29 + 5x = 16 + -1 + -2x Combine like terms: 16 + -1 = 15 29 + 5x = 15 + -2x Solving 29 + 5x = 15 + -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. 29 + 5x + 2x = 15 + -2x + 2x Combine like terms: 5x + 2x = 7x 29 + 7x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 29 + 7x = 15 + 0 29 + 7x = 15 Add '-29' to each side of the equation. 29 + -29 + 7x = 15 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 15 + -29 7x = 15 + -29 Combine like terms: 15 + -29 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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