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Simplifying 2(x + -1) = 10(1 + -1x) + 6 Reorder the terms: 2(-1 + x) = 10(1 + -1x) + 6 (-1 * 2 + x * 2) = 10(1 + -1x) + 6 (-2 + 2x) = 10(1 + -1x) + 6 -2 + 2x = (1 * 10 + -1x * 10) + 6 -2 + 2x = (10 + -10x) + 6 Reorder the terms: -2 + 2x = 10 + 6 + -10x Combine like terms: 10 + 6 = 16 -2 + 2x = 16 + -10x Solving -2 + 2x = 16 + -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. -2 + 2x + 10x = 16 + -10x + 10x Combine like terms: 2x + 10x = 12x -2 + 12x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 12x = 16 + 0 -2 + 12x = 16 Add '2' to each side of the equation. -2 + 2 + 12x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 16 + 2 12x = 16 + 2 Combine like terms: 16 + 2 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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