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Simplifying 0 = 3x + -5y + 1 + -1(4x + y + -3) Reorder the terms: 0 = 3x + -5y + 1 + -1(-3 + 4x + y) 0 = 3x + -5y + 1 + (-3 * -1 + 4x * -1 + y * -1) 0 = 3x + -5y + 1 + (3 + -4x + -1y) Reorder the terms: 0 = 1 + 3 + 3x + -4x + -5y + -1y Combine like terms: 1 + 3 = 4 0 = 4 + 3x + -4x + -5y + -1y Combine like terms: 3x + -4x = -1x 0 = 4 + -1x + -5y + -1y Combine like terms: -5y + -1y = -6y 0 = 4 + -1x + -6y Solving 0 = 4 + -1x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0 + x = 4 + -1x + x + -6y Remove the zero: x = 4 + -1x + x + -6y Combine like terms: -1x + x = 0 x = 4 + 0 + -6y x = 4 + -6y Simplifying x = 4 + -6y
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