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Simplifying 3x + 12 = 5(x + y) Reorder the terms: 12 + 3x = 5(x + y) 12 + 3x = (x * 5 + y * 5) 12 + 3x = (5x + 5y) Solving 12 + 3x = 5x + 5y 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. 12 + 3x + -5x = 5x + -5x + 5y Combine like terms: 3x + -5x = -2x 12 + -2x = 5x + -5x + 5y Combine like terms: 5x + -5x = 0 12 + -2x = 0 + 5y 12 + -2x = 5y Add '-12' to each side of the equation. 12 + -12 + -2x = -12 + 5y Combine like terms: 12 + -12 = 0 0 + -2x = -12 + 5y -2x = -12 + 5y Divide each side by '-2'. x = 6 + -2.5y Simplifying x = 6 + -2.5y
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