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Simplifying 32x + 75 = 45x + 10 Reorder the terms: 75 + 32x = 45x + 10 Reorder the terms: 75 + 32x = 10 + 45x Solving 75 + 32x = 10 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 75 + 32x + -45x = 10 + 45x + -45x Combine like terms: 32x + -45x = -13x 75 + -13x = 10 + 45x + -45x Combine like terms: 45x + -45x = 0 75 + -13x = 10 + 0 75 + -13x = 10 Add '-75' to each side of the equation. 75 + -75 + -13x = 10 + -75 Combine like terms: 75 + -75 = 0 0 + -13x = 10 + -75 -13x = 10 + -75 Combine like terms: 10 + -75 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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