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Simplifying 12x + 85.50 = 15x + 75.50 Reorder the terms: 85.50 + 12x = 15x + 75.50 Reorder the terms: 85.50 + 12x = 75.50 + 15x Solving 85.50 + 12x = 75.50 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 85.50 + 12x + -15x = 75.50 + 15x + -15x Combine like terms: 12x + -15x = -3x 85.50 + -3x = 75.50 + 15x + -15x Combine like terms: 15x + -15x = 0 85.50 + -3x = 75.50 + 0 85.50 + -3x = 75.50 Add '-85.50' to each side of the equation. 85.50 + -85.50 + -3x = 75.50 + -85.50 Combine like terms: 85.50 + -85.50 = 0.00 0.00 + -3x = 75.50 + -85.50 -3x = 75.50 + -85.50 Combine like terms: 75.50 + -85.50 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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