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Simplifying 3x + -105 = 5x + -75 Reorder the terms: -105 + 3x = 5x + -75 Reorder the terms: -105 + 3x = -75 + 5x Solving -105 + 3x = -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. -105 + 3x + -5x = -75 + 5x + -5x Combine like terms: 3x + -5x = -2x -105 + -2x = -75 + 5x + -5x Combine like terms: 5x + -5x = 0 -105 + -2x = -75 + 0 -105 + -2x = -75 Add '105' to each side of the equation. -105 + 105 + -2x = -75 + 105 Combine like terms: -105 + 105 = 0 0 + -2x = -75 + 105 -2x = -75 + 105 Combine like terms: -75 + 105 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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