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Simplifying 5x + -9x + 75 = 5x + 30 Reorder the terms: 75 + 5x + -9x = 5x + 30 Combine like terms: 5x + -9x = -4x 75 + -4x = 5x + 30 Reorder the terms: 75 + -4x = 30 + 5x Solving 75 + -4x = 30 + 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 + -4x + -5x = 30 + 5x + -5x Combine like terms: -4x + -5x = -9x 75 + -9x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 75 + -9x = 30 + 0 75 + -9x = 30 Add '-75' to each side of the equation. 75 + -75 + -9x = 30 + -75 Combine like terms: 75 + -75 = 0 0 + -9x = 30 + -75 -9x = 30 + -75 Combine like terms: 30 + -75 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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