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Simplifying -13x + -75 = -8x + -40 Reorder the terms: -75 + -13x = -8x + -40 Reorder the terms: -75 + -13x = -40 + -8x Solving -75 + -13x = -40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -75 + -13x + 8x = -40 + -8x + 8x Combine like terms: -13x + 8x = -5x -75 + -5x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 -75 + -5x = -40 + 0 -75 + -5x = -40 Add '75' to each side of the equation. -75 + 75 + -5x = -40 + 75 Combine like terms: -75 + 75 = 0 0 + -5x = -40 + 75 -5x = -40 + 75 Combine like terms: -40 + 75 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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