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Simplifying 3x + 45y = 4y + -6x Reorder the terms: 3x + 45y = -6x + 4y Solving 3x + 45y = -6x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3x + 6x + 45y = -6x + 6x + 4y Combine like terms: 3x + 6x = 9x 9x + 45y = -6x + 6x + 4y Combine like terms: -6x + 6x = 0 9x + 45y = 0 + 4y 9x + 45y = 4y Add '-45y' to each side of the equation. 9x + 45y + -45y = 4y + -45y Combine like terms: 45y + -45y = 0 9x + 0 = 4y + -45y 9x = 4y + -45y Combine like terms: 4y + -45y = -41y 9x = -41y Divide each side by '9'. x = -4.555555556y Simplifying x = -4.555555556y
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