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Simplifying 2x + 4x + 5y + 6 = 5y + 6x + 3y + 3 + -2x + 3 Reorder the terms: 6 + 2x + 4x + 5y = 5y + 6x + 3y + 3 + -2x + 3 Combine like terms: 2x + 4x = 6x 6 + 6x + 5y = 5y + 6x + 3y + 3 + -2x + 3 Reorder the terms: 6 + 6x + 5y = 3 + 3 + 6x + -2x + 5y + 3y Combine like terms: 3 + 3 = 6 6 + 6x + 5y = 6 + 6x + -2x + 5y + 3y Combine like terms: 6x + -2x = 4x 6 + 6x + 5y = 6 + 4x + 5y + 3y Combine like terms: 5y + 3y = 8y 6 + 6x + 5y = 6 + 4x + 8y Add '-6' to each side of the equation. 6 + 6x + -6 + 5y = 6 + 4x + -6 + 8y Reorder the terms: 6 + -6 + 6x + 5y = 6 + 4x + -6 + 8y Combine like terms: 6 + -6 = 0 0 + 6x + 5y = 6 + 4x + -6 + 8y 6x + 5y = 6 + 4x + -6 + 8y Reorder the terms: 6x + 5y = 6 + -6 + 4x + 8y Combine like terms: 6 + -6 = 0 6x + 5y = 0 + 4x + 8y 6x + 5y = 4x + 8y Solving 6x + 5y = 4x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x + 5y = 4x + -4x + 8y Combine like terms: 6x + -4x = 2x 2x + 5y = 4x + -4x + 8y Combine like terms: 4x + -4x = 0 2x + 5y = 0 + 8y 2x + 5y = 8y Add '-5y' to each side of the equation. 2x + 5y + -5y = 8y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 8y + -5y 2x = 8y + -5y Combine like terms: 8y + -5y = 3y 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5y
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