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Simplifying -6x + 6(-4 + -4x) = -174 -6x + (-4 * 6 + -4x * 6) = -174 -6x + (-24 + -24x) = -174 Reorder the terms: -24 + -6x + -24x = -174 Combine like terms: -6x + -24x = -30x -24 + -30x = -174 Solving -24 + -30x = -174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -30x = -174 + 24 Combine like terms: -24 + 24 = 0 0 + -30x = -174 + 24 -30x = -174 + 24 Combine like terms: -174 + 24 = -150 -30x = -150 Divide each side by '-30'. x = 5 Simplifying x = 5
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