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