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Simplifying 2(x + -1) + -6 = 10(7 + -1x) + 6 Reorder the terms: 2(-1 + x) + -6 = 10(7 + -1x) + 6 (-1 * 2 + x * 2) + -6 = 10(7 + -1x) + 6 (-2 + 2x) + -6 = 10(7 + -1x) + 6 Reorder the terms: -2 + -6 + 2x = 10(7 + -1x) + 6 Combine like terms: -2 + -6 = -8 -8 + 2x = 10(7 + -1x) + 6 -8 + 2x = (7 * 10 + -1x * 10) + 6 -8 + 2x = (70 + -10x) + 6 Reorder the terms: -8 + 2x = 70 + 6 + -10x Combine like terms: 70 + 6 = 76 -8 + 2x = 76 + -10x Solving -8 + 2x = 76 + -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. -8 + 2x + 10x = 76 + -10x + 10x Combine like terms: 2x + 10x = 12x -8 + 12x = 76 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 12x = 76 + 0 -8 + 12x = 76 Add '8' to each side of the equation. -8 + 8 + 12x = 76 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 76 + 8 12x = 76 + 8 Combine like terms: 76 + 8 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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