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Simplifying 12x + 7y + -2x + 8y = 3(4 + x) Reorder the terms: 12x + -2x + 7y + 8y = 3(4 + x) Combine like terms: 12x + -2x = 10x 10x + 7y + 8y = 3(4 + x) Combine like terms: 7y + 8y = 15y 10x + 15y = 3(4 + x) 10x + 15y = (4 * 3 + x * 3) 10x + 15y = (12 + 3x) Solving 10x + 15y = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10x + -3x + 15y = 12 + 3x + -3x Combine like terms: 10x + -3x = 7x 7x + 15y = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 7x + 15y = 12 + 0 7x + 15y = 12 Add '-15y' to each side of the equation. 7x + 15y + -15y = 12 + -15y Combine like terms: 15y + -15y = 0 7x + 0 = 12 + -15y 7x = 12 + -15y Divide each side by '7'. x = 1.714285714 + -2.142857143y Simplifying x = 1.714285714 + -2.142857143y
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