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Simplifying 2x + y + 6 = 4x + 1 Reorder the terms: 6 + 2x + y = 4x + 1 Reorder the terms: 6 + 2x + y = 1 + 4x Solving 6 + 2x + y = 1 + 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. 6 + 2x + -4x + y = 1 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x + y = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x + y = 1 + 0 6 + -2x + y = 1 Add '-6' to each side of the equation. 6 + -2x + -6 + y = 1 + -6 Reorder the terms: 6 + -6 + -2x + y = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -2x + y = 1 + -6 -2x + y = 1 + -6 Combine like terms: 1 + -6 = -5 -2x + y = -5 Add '-1y' to each side of the equation. -2x + y + -1y = -5 + -1y Combine like terms: y + -1y = 0 -2x + 0 = -5 + -1y -2x = -5 + -1y Divide each side by '-2'. x = 2.5 + 0.5y Simplifying x = 2.5 + 0.5y
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