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Simplifying -2(x + 3) + -1(5 + -1x) = 12 Reorder the terms: -2(3 + x) + -1(5 + -1x) = 12 (3 * -2 + x * -2) + -1(5 + -1x) = 12 (-6 + -2x) + -1(5 + -1x) = 12 -6 + -2x + (5 * -1 + -1x * -1) = 12 -6 + -2x + (-5 + 1x) = 12 Reorder the terms: -6 + -5 + -2x + 1x = 12 Combine like terms: -6 + -5 = -11 -11 + -2x + 1x = 12 Combine like terms: -2x + 1x = -1x -11 + -1x = 12 Solving -11 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 12 + 11 -1x = 12 + 11 Combine like terms: 12 + 11 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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