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Simplifying 2x + 4y + 30 = 6x + 3y Reorder the terms: 30 + 2x + 4y = 6x + 3y Solving 30 + 2x + 4y = 6x + 3y 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. 30 + 2x + -6x + 4y = 6x + -6x + 3y Combine like terms: 2x + -6x = -4x 30 + -4x + 4y = 6x + -6x + 3y Combine like terms: 6x + -6x = 0 30 + -4x + 4y = 0 + 3y 30 + -4x + 4y = 3y Add '-30' to each side of the equation. 30 + -4x + -30 + 4y = -30 + 3y Reorder the terms: 30 + -30 + -4x + 4y = -30 + 3y Combine like terms: 30 + -30 = 0 0 + -4x + 4y = -30 + 3y -4x + 4y = -30 + 3y Add '-4y' to each side of the equation. -4x + 4y + -4y = -30 + 3y + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = -30 + 3y + -4y -4x = -30 + 3y + -4y Combine like terms: 3y + -4y = -1y -4x = -30 + -1y Divide each side by '-4'. x = 7.5 + 0.25y Simplifying x = 7.5 + 0.25y
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