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Simplifying 2(x + -1) + -6 = 10(1 + -1x) + 6 + -2x Reorder the terms: 2(-1 + x) + -6 = 10(1 + -1x) + 6 + -2x (-1 * 2 + x * 2) + -6 = 10(1 + -1x) + 6 + -2x (-2 + 2x) + -6 = 10(1 + -1x) + 6 + -2x Reorder the terms: -2 + -6 + 2x = 10(1 + -1x) + 6 + -2x Combine like terms: -2 + -6 = -8 -8 + 2x = 10(1 + -1x) + 6 + -2x -8 + 2x = (1 * 10 + -1x * 10) + 6 + -2x -8 + 2x = (10 + -10x) + 6 + -2x Reorder the terms: -8 + 2x = 10 + 6 + -10x + -2x Combine like terms: 10 + 6 = 16 -8 + 2x = 16 + -10x + -2x Combine like terms: -10x + -2x = -12x -8 + 2x = 16 + -12x Solving -8 + 2x = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 2x + 12x = 16 + -12x + 12x Combine like terms: 2x + 12x = 14x -8 + 14x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 14x = 16 + 0 -8 + 14x = 16 Add '8' to each side of the equation. -8 + 8 + 14x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 16 + 8 14x = 16 + 8 Combine like terms: 16 + 8 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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