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Simplifying -8x + -75 = 5x + 120 Reorder the terms: -75 + -8x = 5x + 120 Reorder the terms: -75 + -8x = 120 + 5x Solving -75 + -8x = 120 + 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. -75 + -8x + -5x = 120 + 5x + -5x Combine like terms: -8x + -5x = -13x -75 + -13x = 120 + 5x + -5x Combine like terms: 5x + -5x = 0 -75 + -13x = 120 + 0 -75 + -13x = 120 Add '75' to each side of the equation. -75 + 75 + -13x = 120 + 75 Combine like terms: -75 + 75 = 0 0 + -13x = 120 + 75 -13x = 120 + 75 Combine like terms: 120 + 75 = 195 -13x = 195 Divide each side by '-13'. x = -15 Simplifying x = -15
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