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Simplifying 5(3x + -2y) = 2(5x + -4y) + 3 (3x * 5 + -2y * 5) = 2(5x + -4y) + 3 (15x + -10y) = 2(5x + -4y) + 3 15x + -10y = (5x * 2 + -4y * 2) + 3 15x + -10y = (10x + -8y) + 3 Reorder the terms: 15x + -10y = 3 + 10x + -8y Solving 15x + -10y = 3 + 10x + -8y 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. 15x + -10x + -10y = 3 + 10x + -10x + -8y Combine like terms: 15x + -10x = 5x 5x + -10y = 3 + 10x + -10x + -8y Combine like terms: 10x + -10x = 0 5x + -10y = 3 + 0 + -8y 5x + -10y = 3 + -8y Add '10y' to each side of the equation. 5x + -10y + 10y = 3 + -8y + 10y Combine like terms: -10y + 10y = 0 5x + 0 = 3 + -8y + 10y 5x = 3 + -8y + 10y Combine like terms: -8y + 10y = 2y 5x = 3 + 2y Divide each side by '5'. x = 0.6 + 0.4y Simplifying x = 0.6 + 0.4y
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