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Simplifying 2x + y + 1 = 4x + 3 Reorder the terms: 1 + 2x + y = 4x + 3 Reorder the terms: 1 + 2x + y = 3 + 4x Solving 1 + 2x + y = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x + y = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x 1 + -2x + y = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -2x + y = 3 + 0 1 + -2x + y = 3 Add '-1' to each side of the equation. 1 + -2x + -1 + y = 3 + -1 Reorder the terms: 1 + -1 + -2x + y = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -2x + y = 3 + -1 -2x + y = 3 + -1 Combine like terms: 3 + -1 = 2 -2x + y = 2 Add '-1y' to each side of the equation. -2x + y + -1y = 2 + -1y Combine like terms: y + -1y = 0 -2x + 0 = 2 + -1y -2x = 2 + -1y Divide each side by '-2'. x = -1 + 0.5y Simplifying x = -1 + 0.5y
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