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Simplifying 6(x + -1) + -2(2 + -1x) = 8 + -1(2 + -6x) Reorder the terms: 6(-1 + x) + -2(2 + -1x) = 8 + -1(2 + -6x) (-1 * 6 + x * 6) + -2(2 + -1x) = 8 + -1(2 + -6x) (-6 + 6x) + -2(2 + -1x) = 8 + -1(2 + -6x) -6 + 6x + (2 * -2 + -1x * -2) = 8 + -1(2 + -6x) -6 + 6x + (-4 + 2x) = 8 + -1(2 + -6x) Reorder the terms: -6 + -4 + 6x + 2x = 8 + -1(2 + -6x) Combine like terms: -6 + -4 = -10 -10 + 6x + 2x = 8 + -1(2 + -6x) Combine like terms: 6x + 2x = 8x -10 + 8x = 8 + -1(2 + -6x) -10 + 8x = 8 + (2 * -1 + -6x * -1) -10 + 8x = 8 + (-2 + 6x) Combine like terms: 8 + -2 = 6 -10 + 8x = 6 + 6x Solving -10 + 8x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 8x + -6x = 6 + 6x + -6x Combine like terms: 8x + -6x = 2x -10 + 2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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