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Simplifying 5(x + 5) + 10 = -8x + 10 Reorder the terms: 5(5 + x) + 10 = -8x + 10 (5 * 5 + x * 5) + 10 = -8x + 10 (25 + 5x) + 10 = -8x + 10 Reorder the terms: 25 + 10 + 5x = -8x + 10 Combine like terms: 25 + 10 = 35 35 + 5x = -8x + 10 Reorder the terms: 35 + 5x = 10 + -8x Solving 35 + 5x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 35 + 5x + 8x = 10 + -8x + 8x Combine like terms: 5x + 8x = 13x 35 + 13x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 35 + 13x = 10 + 0 35 + 13x = 10 Add '-35' to each side of the equation. 35 + -35 + 13x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 10 + -35 13x = 10 + -35 Combine like terms: 10 + -35 = -25 13x = -25 Divide each side by '13'. x = -1.923076923 Simplifying x = -1.923076923
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