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Simplifying -1(-7x + 1) = 2(5 + x) + 8x Reorder the terms: -1(1 + -7x) = 2(5 + x) + 8x (1 * -1 + -7x * -1) = 2(5 + x) + 8x (-1 + 7x) = 2(5 + x) + 8x -1 + 7x = (5 * 2 + x * 2) + 8x -1 + 7x = (10 + 2x) + 8x Combine like terms: 2x + 8x = 10x -1 + 7x = 10 + 10x Solving -1 + 7x = 10 + 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. -1 + 7x + -10x = 10 + 10x + -10x Combine like terms: 7x + -10x = -3x -1 + -3x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + -3x = 10 + 0 -1 + -3x = 10 Add '1' to each side of the equation. -1 + 1 + -3x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 10 + 1 -3x = 10 + 1 Combine like terms: 10 + 1 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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