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Simplifying 3x + 4 = x + 2y + -12 Reorder the terms: 4 + 3x = x + 2y + -12 Reorder the terms: 4 + 3x = -12 + x + 2y Solving 4 + 3x = -12 + x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 3x + -1x = -12 + x + -1x + 2y Combine like terms: 3x + -1x = 2x 4 + 2x = -12 + x + -1x + 2y Combine like terms: x + -1x = 0 4 + 2x = -12 + 0 + 2y 4 + 2x = -12 + 2y Add '-4' to each side of the equation. 4 + -4 + 2x = -12 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 2x = -12 + -4 + 2y 2x = -12 + -4 + 2y Combine like terms: -12 + -4 = -16 2x = -16 + 2y Divide each side by '2'. x = -8 + y Simplifying x = -8 + y
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