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Simplifying 6 + -1(x + -1) = -2(2 + -1x) Reorder the terms: 6 + -1(-1 + x) = -2(2 + -1x) 6 + (-1 * -1 + x * -1) = -2(2 + -1x) 6 + (1 + -1x) = -2(2 + -1x) Combine like terms: 6 + 1 = 7 7 + -1x = -2(2 + -1x) 7 + -1x = (2 * -2 + -1x * -2) 7 + -1x = (-4 + 2x) Solving 7 + -1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -1x + -2x = -4 + 2x + -2x Combine like terms: -1x + -2x = -3x 7 + -3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -3x = -4 + 0 7 + -3x = -4 Add '-7' to each side of the equation. 7 + -7 + -3x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -4 + -7 -3x = -4 + -7 Combine like terms: -4 + -7 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667
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