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Simplifying 2(x + -2) + -6 = 10(1 + -1x) + 6 Reorder the terms: 2(-2 + x) + -6 = 10(1 + -1x) + 6 (-2 * 2 + x * 2) + -6 = 10(1 + -1x) + 6 (-4 + 2x) + -6 = 10(1 + -1x) + 6 Reorder the terms: -4 + -6 + 2x = 10(1 + -1x) + 6 Combine like terms: -4 + -6 = -10 -10 + 2x = 10(1 + -1x) + 6 -10 + 2x = (1 * 10 + -1x * 10) + 6 -10 + 2x = (10 + -10x) + 6 Reorder the terms: -10 + 2x = 10 + 6 + -10x Combine like terms: 10 + 6 = 16 -10 + 2x = 16 + -10x Solving -10 + 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. -10 + 2x + 10x = 16 + -10x + 10x Combine like terms: 2x + 10x = 12x -10 + 12x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 12x = 16 + 0 -10 + 12x = 16 Add '10' to each side of the equation. -10 + 10 + 12x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 16 + 10 12x = 16 + 10 Combine like terms: 16 + 10 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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