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Simplifying 4(x + -2y) = 5 + -1(y + -3x) (x * 4 + -2y * 4) = 5 + -1(y + -3x) (4x + -8y) = 5 + -1(y + -3x) Reorder the terms: 4x + -8y = 5 + -1(-3x + y) 4x + -8y = 5 + (-3x * -1 + y * -1) 4x + -8y = 5 + (3x + -1y) Solving 4x + -8y = 5 + 3x + -1y 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. 4x + -3x + -8y = 5 + 3x + -3x + -1y Combine like terms: 4x + -3x = 1x 1x + -8y = 5 + 3x + -3x + -1y Combine like terms: 3x + -3x = 0 1x + -8y = 5 + 0 + -1y 1x + -8y = 5 + -1y Add '8y' to each side of the equation. 1x + -8y + 8y = 5 + -1y + 8y Combine like terms: -8y + 8y = 0 1x + 0 = 5 + -1y + 8y 1x = 5 + -1y + 8y Combine like terms: -1y + 8y = 7y 1x = 5 + 7y Divide each side by '1'. x = 5 + 7y Simplifying x = 5 + 7y
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