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Simplifying 2x + -1 + 3y + -5 = 4x + -1y + 1 Reorder the terms: -1 + -5 + 2x + 3y = 4x + -1y + 1 Combine like terms: -1 + -5 = -6 -6 + 2x + 3y = 4x + -1y + 1 Reorder the terms: -6 + 2x + 3y = 1 + 4x + -1y Solving -6 + 2x + 3y = 1 + 4x + -1y 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 + 3y = 1 + 4x + -4x + -1y Combine like terms: 2x + -4x = -2x -6 + -2x + 3y = 1 + 4x + -4x + -1y Combine like terms: 4x + -4x = 0 -6 + -2x + 3y = 1 + 0 + -1y -6 + -2x + 3y = 1 + -1y Add '6' to each side of the equation. -6 + -2x + 6 + 3y = 1 + 6 + -1y Reorder the terms: -6 + 6 + -2x + 3y = 1 + 6 + -1y Combine like terms: -6 + 6 = 0 0 + -2x + 3y = 1 + 6 + -1y -2x + 3y = 1 + 6 + -1y Combine like terms: 1 + 6 = 7 -2x + 3y = 7 + -1y Add '-3y' to each side of the equation. -2x + 3y + -3y = 7 + -1y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 7 + -1y + -3y -2x = 7 + -1y + -3y Combine like terms: -1y + -3y = -4y -2x = 7 + -4y Divide each side by '-2'. x = -3.5 + 2y Simplifying x = -3.5 + 2y
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