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Simplifying -10(2x + -5) + -12(-1x + 8) = 26 Reorder the terms: -10(-5 + 2x) + -12(-1x + 8) = 26 (-5 * -10 + 2x * -10) + -12(-1x + 8) = 26 (50 + -20x) + -12(-1x + 8) = 26 Reorder the terms: 50 + -20x + -12(8 + -1x) = 26 50 + -20x + (8 * -12 + -1x * -12) = 26 50 + -20x + (-96 + 12x) = 26 Reorder the terms: 50 + -96 + -20x + 12x = 26 Combine like terms: 50 + -96 = -46 -46 + -20x + 12x = 26 Combine like terms: -20x + 12x = -8x -46 + -8x = 26 Solving -46 + -8x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -8x = 26 + 46 Combine like terms: -46 + 46 = 0 0 + -8x = 26 + 46 -8x = 26 + 46 Combine like terms: 26 + 46 = 72 -8x = 72 Divide each side by '-8'. x = -9 Simplifying x = -9
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