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Simplifying 2x + 3y + 12 = 4y + 12x + 1 Reorder the terms: 12 + 2x + 3y = 4y + 12x + 1 Reorder the terms: 12 + 2x + 3y = 1 + 12x + 4y Solving 12 + 2x + 3y = 1 + 12x + 4y 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. 12 + 2x + -12x + 3y = 1 + 12x + -12x + 4y Combine like terms: 2x + -12x = -10x 12 + -10x + 3y = 1 + 12x + -12x + 4y Combine like terms: 12x + -12x = 0 12 + -10x + 3y = 1 + 0 + 4y 12 + -10x + 3y = 1 + 4y Add '-12' to each side of the equation. 12 + -10x + -12 + 3y = 1 + -12 + 4y Reorder the terms: 12 + -12 + -10x + 3y = 1 + -12 + 4y Combine like terms: 12 + -12 = 0 0 + -10x + 3y = 1 + -12 + 4y -10x + 3y = 1 + -12 + 4y Combine like terms: 1 + -12 = -11 -10x + 3y = -11 + 4y Add '-3y' to each side of the equation. -10x + 3y + -3y = -11 + 4y + -3y Combine like terms: 3y + -3y = 0 -10x + 0 = -11 + 4y + -3y -10x = -11 + 4y + -3y Combine like terms: 4y + -3y = 1y -10x = -11 + 1y Divide each side by '-10'. x = 1.1 + -0.1y Simplifying x = 1.1 + -0.1y
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