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Simplifying -182 = -6x + 4(-8 + -6x) -182 = -6x + (-8 * 4 + -6x * 4) -182 = -6x + (-32 + -24x) Reorder the terms: -182 = -32 + -6x + -24x Combine like terms: -6x + -24x = -30x -182 = -32 + -30x Solving -182 = -32 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -182 + 30x = -32 + -30x + 30x Combine like terms: -30x + 30x = 0 -182 + 30x = -32 + 0 -182 + 30x = -32 Add '182' to each side of the equation. -182 + 182 + 30x = -32 + 182 Combine like terms: -182 + 182 = 0 0 + 30x = -32 + 182 30x = -32 + 182 Combine like terms: -32 + 182 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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