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Simplifying x + 12 + 3y = 18 + -2x Reorder the terms: 12 + x + 3y = 18 + -2x Solving 12 + x + 3y = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + x + 2x + 3y = 18 + -2x + 2x Combine like terms: x + 2x = 3x 12 + 3x + 3y = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 3x + 3y = 18 + 0 12 + 3x + 3y = 18 Add '-12' to each side of the equation. 12 + 3x + -12 + 3y = 18 + -12 Reorder the terms: 12 + -12 + 3x + 3y = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 3x + 3y = 18 + -12 3x + 3y = 18 + -12 Combine like terms: 18 + -12 = 6 3x + 3y = 6 Add '-3y' to each side of the equation. 3x + 3y + -3y = 6 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 6 + -3y 3x = 6 + -3y Divide each side by '3'. x = 2 + -1y Simplifying x = 2 + -1y
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