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Simplifying 27x + 15 = 12x + 75 Reorder the terms: 15 + 27x = 12x + 75 Reorder the terms: 15 + 27x = 75 + 12x Solving 15 + 27x = 75 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 27x + -12x = 75 + 12x + -12x Combine like terms: 27x + -12x = 15x 15 + 15x = 75 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + 15x = 75 + 0 15 + 15x = 75 Add '-15' to each side of the equation. 15 + -15 + 15x = 75 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 75 + -15 15x = 75 + -15 Combine like terms: 75 + -15 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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