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Simplifying (6 + -1x) + -1(x + -5) + -1(4 + -1x) = -2 Remove parenthesis around (6 + -1x) 6 + -1x + -1(x + -5) + -1(4 + -1x) = -2 Reorder the terms: 6 + -1x + -1(-5 + x) + -1(4 + -1x) = -2 6 + -1x + (-5 * -1 + x * -1) + -1(4 + -1x) = -2 6 + -1x + (5 + -1x) + -1(4 + -1x) = -2 6 + -1x + 5 + -1x + (4 * -1 + -1x * -1) = -2 6 + -1x + 5 + -1x + (-4 + 1x) = -2 Reorder the terms: 6 + 5 + -4 + -1x + -1x + 1x = -2 Combine like terms: 6 + 5 = 11 11 + -4 + -1x + -1x + 1x = -2 Combine like terms: 11 + -4 = 7 7 + -1x + -1x + 1x = -2 Combine like terms: -1x + -1x = -2x 7 + -2x + 1x = -2 Combine like terms: -2x + 1x = -1x 7 + -1x = -2 Solving 7 + -1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -2 + -7 -1x = -2 + -7 Combine like terms: -2 + -7 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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