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Simplifying 5(-6 + -2x) = 75 + -5x (-6 * 5 + -2x * 5) = 75 + -5x (-30 + -10x) = 75 + -5x Solving -30 + -10x = 75 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + -10x + 5x = 75 + -5x + 5x Combine like terms: -10x + 5x = -5x -30 + -5x = 75 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + -5x = 75 + 0 -30 + -5x = 75 Add '30' to each side of the equation. -30 + 30 + -5x = 75 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = 75 + 30 -5x = 75 + 30 Combine like terms: 75 + 30 = 105 -5x = 105 Divide each side by '-5'. x = -21 Simplifying x = -21
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