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Simplifying (3x + -1y + 3) = (8y + -3x) Reorder the terms: (3 + 3x + -1y) = (8y + -3x) Remove parenthesis around (3 + 3x + -1y) 3 + 3x + -1y = (8y + -3x) Reorder the terms: 3 + 3x + -1y = (-3x + 8y) Remove parenthesis around (-3x + 8y) 3 + 3x + -1y = -3x + 8y Solving 3 + 3x + -1y = -3x + 8y 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. 3 + 3x + 3x + -1y = -3x + 3x + 8y Combine like terms: 3x + 3x = 6x 3 + 6x + -1y = -3x + 3x + 8y Combine like terms: -3x + 3x = 0 3 + 6x + -1y = 0 + 8y 3 + 6x + -1y = 8y Add '-3' to each side of the equation. 3 + 6x + -3 + -1y = -3 + 8y Reorder the terms: 3 + -3 + 6x + -1y = -3 + 8y Combine like terms: 3 + -3 = 0 0 + 6x + -1y = -3 + 8y 6x + -1y = -3 + 8y Add 'y' to each side of the equation. 6x + -1y + y = -3 + 8y + y Combine like terms: -1y + y = 0 6x + 0 = -3 + 8y + y 6x = -3 + 8y + y Combine like terms: 8y + y = 9y 6x = -3 + 9y Divide each side by '6'. x = -0.5 + 1.5y Simplifying x = -0.5 + 1.5y
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