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Simplifying 3x + 3y + 4 = x + 2y + 1 Reorder the terms: 4 + 3x + 3y = x + 2y + 1 Reorder the terms: 4 + 3x + 3y = 1 + x + 2y Solving 4 + 3x + 3y = 1 + 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 + 3y = 1 + x + -1x + 2y Combine like terms: 3x + -1x = 2x 4 + 2x + 3y = 1 + x + -1x + 2y Combine like terms: x + -1x = 0 4 + 2x + 3y = 1 + 0 + 2y 4 + 2x + 3y = 1 + 2y Add '-4' to each side of the equation. 4 + 2x + -4 + 3y = 1 + -4 + 2y Reorder the terms: 4 + -4 + 2x + 3y = 1 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 2x + 3y = 1 + -4 + 2y 2x + 3y = 1 + -4 + 2y Combine like terms: 1 + -4 = -3 2x + 3y = -3 + 2y Add '-3y' to each side of the equation. 2x + 3y + -3y = -3 + 2y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -3 + 2y + -3y 2x = -3 + 2y + -3y Combine like terms: 2y + -3y = -1y 2x = -3 + -1y Divide each side by '2'. x = -1.5 + -0.5y Simplifying x = -1.5 + -0.5y
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