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Simplifying 2(x + -5) + -1(3x + 6) = -12 Reorder the terms: 2(-5 + x) + -1(3x + 6) = -12 (-5 * 2 + x * 2) + -1(3x + 6) = -12 (-10 + 2x) + -1(3x + 6) = -12 Reorder the terms: -10 + 2x + -1(6 + 3x) = -12 -10 + 2x + (6 * -1 + 3x * -1) = -12 -10 + 2x + (-6 + -3x) = -12 Reorder the terms: -10 + -6 + 2x + -3x = -12 Combine like terms: -10 + -6 = -16 -16 + 2x + -3x = -12 Combine like terms: 2x + -3x = -1x -16 + -1x = -12 Solving -16 + -1x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -12 + 16 -1x = -12 + 16 Combine like terms: -12 + 16 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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