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Simplifying 5(2x + 4y) = 6(3x + 4) + 2y (2x * 5 + 4y * 5) = 6(3x + 4) + 2y (10x + 20y) = 6(3x + 4) + 2y Reorder the terms: 10x + 20y = 6(4 + 3x) + 2y 10x + 20y = (4 * 6 + 3x * 6) + 2y 10x + 20y = (24 + 18x) + 2y Solving 10x + 20y = 24 + 18x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10x + -18x + 20y = 24 + 18x + -18x + 2y Combine like terms: 10x + -18x = -8x -8x + 20y = 24 + 18x + -18x + 2y Combine like terms: 18x + -18x = 0 -8x + 20y = 24 + 0 + 2y -8x + 20y = 24 + 2y Add '-20y' to each side of the equation. -8x + 20y + -20y = 24 + 2y + -20y Combine like terms: 20y + -20y = 0 -8x + 0 = 24 + 2y + -20y -8x = 24 + 2y + -20y Combine like terms: 2y + -20y = -18y -8x = 24 + -18y Divide each side by '-8'. x = -3 + 2.25y Simplifying x = -3 + 2.25y
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