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