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Simplifying 10(x + -1) + -4 + -1x = 2(x + 2) + -12 Reorder the terms: 10(-1 + x) + -4 + -1x = 2(x + 2) + -12 (-1 * 10 + x * 10) + -4 + -1x = 2(x + 2) + -12 (-10 + 10x) + -4 + -1x = 2(x + 2) + -12 Reorder the terms: -10 + -4 + 10x + -1x = 2(x + 2) + -12 Combine like terms: -10 + -4 = -14 -14 + 10x + -1x = 2(x + 2) + -12 Combine like terms: 10x + -1x = 9x -14 + 9x = 2(x + 2) + -12 Reorder the terms: -14 + 9x = 2(2 + x) + -12 -14 + 9x = (2 * 2 + x * 2) + -12 -14 + 9x = (4 + 2x) + -12 Reorder the terms: -14 + 9x = 4 + -12 + 2x Combine like terms: 4 + -12 = -8 -14 + 9x = -8 + 2x Solving -14 + 9x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 9x + -2x = -8 + 2x + -2x Combine like terms: 9x + -2x = 7x -14 + 7x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 7x = -8 + 0 -14 + 7x = -8 Add '14' to each side of the equation. -14 + 14 + 7x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = -8 + 14 7x = -8 + 14 Combine like terms: -8 + 14 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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