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Simplifying 5x + 105 = 9x + -75 Reorder the terms: 105 + 5x = 9x + -75 Reorder the terms: 105 + 5x = -75 + 9x Solving 105 + 5x = -75 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 105 + 5x + -9x = -75 + 9x + -9x Combine like terms: 5x + -9x = -4x 105 + -4x = -75 + 9x + -9x Combine like terms: 9x + -9x = 0 105 + -4x = -75 + 0 105 + -4x = -75 Add '-105' to each side of the equation. 105 + -105 + -4x = -75 + -105 Combine like terms: 105 + -105 = 0 0 + -4x = -75 + -105 -4x = -75 + -105 Combine like terms: -75 + -105 = -180 -4x = -180 Divide each side by '-4'. x = 45 Simplifying x = 45
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