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Simplifying 2(x + 5) + -2 = 15(10 + -1x) Reorder the terms: 2(5 + x) + -2 = 15(10 + -1x) (5 * 2 + x * 2) + -2 = 15(10 + -1x) (10 + 2x) + -2 = 15(10 + -1x) Reorder the terms: 10 + -2 + 2x = 15(10 + -1x) Combine like terms: 10 + -2 = 8 8 + 2x = 15(10 + -1x) 8 + 2x = (10 * 15 + -1x * 15) 8 + 2x = (150 + -15x) Solving 8 + 2x = 150 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 8 + 2x + 15x = 150 + -15x + 15x Combine like terms: 2x + 15x = 17x 8 + 17x = 150 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 17x = 150 + 0 8 + 17x = 150 Add '-8' to each side of the equation. 8 + -8 + 17x = 150 + -8 Combine like terms: 8 + -8 = 0 0 + 17x = 150 + -8 17x = 150 + -8 Combine like terms: 150 + -8 = 142 17x = 142 Divide each side by '17'. x = 8.352941176 Simplifying x = 8.352941176
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