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Simplifying 15 + -2(4x + -1) = -10x + 7 Reorder the terms: 15 + -2(-1 + 4x) = -10x + 7 15 + (-1 * -2 + 4x * -2) = -10x + 7 15 + (2 + -8x) = -10x + 7 Combine like terms: 15 + 2 = 17 17 + -8x = -10x + 7 Reorder the terms: 17 + -8x = 7 + -10x Solving 17 + -8x = 7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17 + -8x + 10x = 7 + -10x + 10x Combine like terms: -8x + 10x = 2x 17 + 2x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 17 + 2x = 7 + 0 17 + 2x = 7 Add '-17' to each side of the equation. 17 + -17 + 2x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 7 + -17 2x = 7 + -17 Combine like terms: 7 + -17 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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