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Simplifying 367 + 12x = 280 + 15x Solving 367 + 12x = 280 + 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. 367 + 12x + -15x = 280 + 15x + -15x Combine like terms: 12x + -15x = -3x 367 + -3x = 280 + 15x + -15x Combine like terms: 15x + -15x = 0 367 + -3x = 280 + 0 367 + -3x = 280 Add '-367' to each side of the equation. 367 + -367 + -3x = 280 + -367 Combine like terms: 367 + -367 = 0 0 + -3x = 280 + -367 -3x = 280 + -367 Combine like terms: 280 + -367 = -87 -3x = -87 Divide each side by '-3'. x = 29 Simplifying x = 29
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