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Simplifying -4(5x + 8) + -2 = -174 Reorder the terms: -4(8 + 5x) + -2 = -174 (8 * -4 + 5x * -4) + -2 = -174 (-32 + -20x) + -2 = -174 Reorder the terms: -32 + -2 + -20x = -174 Combine like terms: -32 + -2 = -34 -34 + -20x = -174 Solving -34 + -20x = -174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -20x = -174 + 34 Combine like terms: -34 + 34 = 0 0 + -20x = -174 + 34 -20x = -174 + 34 Combine like terms: -174 + 34 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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