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Simplifying -2(1 + 7x) + 5(x + -5) = 10x + -10 + -2x (1 * -2 + 7x * -2) + 5(x + -5) = 10x + -10 + -2x (-2 + -14x) + 5(x + -5) = 10x + -10 + -2x Reorder the terms: -2 + -14x + 5(-5 + x) = 10x + -10 + -2x -2 + -14x + (-5 * 5 + x * 5) = 10x + -10 + -2x -2 + -14x + (-25 + 5x) = 10x + -10 + -2x Reorder the terms: -2 + -25 + -14x + 5x = 10x + -10 + -2x Combine like terms: -2 + -25 = -27 -27 + -14x + 5x = 10x + -10 + -2x Combine like terms: -14x + 5x = -9x -27 + -9x = 10x + -10 + -2x Reorder the terms: -27 + -9x = -10 + 10x + -2x Combine like terms: 10x + -2x = 8x -27 + -9x = -10 + 8x Solving -27 + -9x = -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. -27 + -9x + -8x = -10 + 8x + -8x Combine like terms: -9x + -8x = -17x -27 + -17x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -17x = -10 + 0 -27 + -17x = -10 Add '27' to each side of the equation. -27 + 27 + -17x = -10 + 27 Combine like terms: -27 + 27 = 0 0 + -17x = -10 + 27 -17x = -10 + 27 Combine like terms: -10 + 27 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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