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Simplifying 4(3x + -2y) = (3y + -2x) (3x * 4 + -2y * 4) = (3y + -2x) (12x + -8y) = (3y + -2x) Reorder the terms: 12x + -8y = (-2x + 3y) Remove parenthesis around (-2x + 3y) 12x + -8y = -2x + 3y Solving 12x + -8y = -2x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12x + 2x + -8y = -2x + 2x + 3y Combine like terms: 12x + 2x = 14x 14x + -8y = -2x + 2x + 3y Combine like terms: -2x + 2x = 0 14x + -8y = 0 + 3y 14x + -8y = 3y Add '8y' to each side of the equation. 14x + -8y + 8y = 3y + 8y Combine like terms: -8y + 8y = 0 14x + 0 = 3y + 8y 14x = 3y + 8y Combine like terms: 3y + 8y = 11y 14x = 11y Divide each side by '14'. x = 0.7857142857y Simplifying x = 0.7857142857y
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