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Simplifying -10(x + -5) + 76 = -12 + -12 Reorder the terms: -10(-5 + x) + 76 = -12 + -12 (-5 * -10 + x * -10) + 76 = -12 + -12 (50 + -10x) + 76 = -12 + -12 Reorder the terms: 50 + 76 + -10x = -12 + -12 Combine like terms: 50 + 76 = 126 126 + -10x = -12 + -12 Combine like terms: -12 + -12 = -24 126 + -10x = -24 Solving 126 + -10x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + -10x = -24 + -126 Combine like terms: 126 + -126 = 0 0 + -10x = -24 + -126 -10x = -24 + -126 Combine like terms: -24 + -126 = -150 -10x = -150 Divide each side by '-10'. x = 15 Simplifying x = 15
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