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Simplifying -2(-5x + -4) = -4x + -174 Reorder the terms: -2(-4 + -5x) = -4x + -174 (-4 * -2 + -5x * -2) = -4x + -174 (8 + 10x) = -4x + -174 Reorder the terms: 8 + 10x = -174 + -4x Solving 8 + 10x = -174 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 10x + 4x = -174 + -4x + 4x Combine like terms: 10x + 4x = 14x 8 + 14x = -174 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 14x = -174 + 0 8 + 14x = -174 Add '-8' to each side of the equation. 8 + -8 + 14x = -174 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = -174 + -8 14x = -174 + -8 Combine like terms: -174 + -8 = -182 14x = -182 Divide each side by '14'. x = -13 Simplifying x = -13
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