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Simplifying 5(2x + 6y) = 6(3x + -2y) (2x * 5 + 6y * 5) = 6(3x + -2y) (10x + 30y) = 6(3x + -2y) 10x + 30y = (3x * 6 + -2y * 6) 10x + 30y = (18x + -12y) Solving 10x + 30y = 18x + -12y 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 + 30y = 18x + -18x + -12y Combine like terms: 10x + -18x = -8x -8x + 30y = 18x + -18x + -12y Combine like terms: 18x + -18x = 0 -8x + 30y = 0 + -12y -8x + 30y = -12y Add '-30y' to each side of the equation. -8x + 30y + -30y = -12y + -30y Combine like terms: 30y + -30y = 0 -8x + 0 = -12y + -30y -8x = -12y + -30y Combine like terms: -12y + -30y = -42y -8x = -42y Divide each side by '-8'. x = 5.25y Simplifying x = 5.25y
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