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Simplifying 3 + 4y + -1x = 3x + -6 Reorder the terms: 3 + -1x + 4y = 3x + -6 Reorder the terms: 3 + -1x + 4y = -6 + 3x Solving 3 + -1x + 4y = -6 + 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. 3 + -1x + -3x + 4y = -6 + 3x + -3x Combine like terms: -1x + -3x = -4x 3 + -4x + 4y = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -4x + 4y = -6 + 0 3 + -4x + 4y = -6 Add '-3' to each side of the equation. 3 + -4x + -3 + 4y = -6 + -3 Reorder the terms: 3 + -3 + -4x + 4y = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -4x + 4y = -6 + -3 -4x + 4y = -6 + -3 Combine like terms: -6 + -3 = -9 -4x + 4y = -9 Add '-4y' to each side of the equation. -4x + 4y + -4y = -9 + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = -9 + -4y -4x = -9 + -4y Divide each side by '-4'. x = 2.25 + y Simplifying x = 2.25 + y
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