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Simplifying 3(2x + 5y) = 2x + 3(2y + -4x) (2x * 3 + 5y * 3) = 2x + 3(2y + -4x) (6x + 15y) = 2x + 3(2y + -4x) Reorder the terms: 6x + 15y = 2x + 3(-4x + 2y) 6x + 15y = 2x + (-4x * 3 + 2y * 3) 6x + 15y = 2x + (-12x + 6y) Combine like terms: 2x + -12x = -10x 6x + 15y = -10x + 6y Solving 6x + 15y = -10x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6x + 10x + 15y = -10x + 10x + 6y Combine like terms: 6x + 10x = 16x 16x + 15y = -10x + 10x + 6y Combine like terms: -10x + 10x = 0 16x + 15y = 0 + 6y 16x + 15y = 6y Add '-15y' to each side of the equation. 16x + 15y + -15y = 6y + -15y Combine like terms: 15y + -15y = 0 16x + 0 = 6y + -15y 16x = 6y + -15y Combine like terms: 6y + -15y = -9y 16x = -9y Divide each side by '16'. x = -0.5625y Simplifying x = -0.5625y
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