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Simplifying -10(x + -4) + 46 = -17 + -17 Reorder the terms: -10(-4 + x) + 46 = -17 + -17 (-4 * -10 + x * -10) + 46 = -17 + -17 (40 + -10x) + 46 = -17 + -17 Reorder the terms: 40 + 46 + -10x = -17 + -17 Combine like terms: 40 + 46 = 86 86 + -10x = -17 + -17 Combine like terms: -17 + -17 = -34 86 + -10x = -34 Solving 86 + -10x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + -10x = -34 + -86 Combine like terms: 86 + -86 = 0 0 + -10x = -34 + -86 -10x = -34 + -86 Combine like terms: -34 + -86 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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