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Simplifying 5(2x + 3y) = 8x + 4 (2x * 5 + 3y * 5) = 8x + 4 (10x + 15y) = 8x + 4 Reorder the terms: 10x + 15y = 4 + 8x Solving 10x + 15y = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10x + -8x + 15y = 4 + 8x + -8x Combine like terms: 10x + -8x = 2x 2x + 15y = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 2x + 15y = 4 + 0 2x + 15y = 4 Add '-15y' to each side of the equation. 2x + 15y + -15y = 4 + -15y Combine like terms: 15y + -15y = 0 2x + 0 = 4 + -15y 2x = 4 + -15y Divide each side by '2'. x = 2 + -7.5y Simplifying x = 2 + -7.5y
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