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Simplifying -12 + -1x = -2(x + -5) + -1(x + 10) Reorder the terms: -12 + -1x = -2(-5 + x) + -1(x + 10) -12 + -1x = (-5 * -2 + x * -2) + -1(x + 10) -12 + -1x = (10 + -2x) + -1(x + 10) Reorder the terms: -12 + -1x = 10 + -2x + -1(10 + x) -12 + -1x = 10 + -2x + (10 * -1 + x * -1) -12 + -1x = 10 + -2x + (-10 + -1x) Reorder the terms: -12 + -1x = 10 + -10 + -2x + -1x Combine like terms: 10 + -10 = 0 -12 + -1x = 0 + -2x + -1x -12 + -1x = -2x + -1x Combine like terms: -2x + -1x = -3x -12 + -1x = -3x Solving -12 + -1x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + -1x + 3x = -3x + 3x Combine like terms: -1x + 3x = 2x -12 + 2x = -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 2x = 0 Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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