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Simplifying 4(2x + 3y) + -3(x + -1y) = 3 (2x * 4 + 3y * 4) + -3(x + -1y) = 3 (8x + 12y) + -3(x + -1y) = 3 8x + 12y + (x * -3 + -1y * -3) = 3 8x + 12y + (-3x + 3y) = 3 Reorder the terms: 8x + -3x + 12y + 3y = 3 Combine like terms: 8x + -3x = 5x 5x + 12y + 3y = 3 Combine like terms: 12y + 3y = 15y 5x + 15y = 3 Solving 5x + 15y = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 5x + 15y + -15y = 3 + -15y Combine like terms: 15y + -15y = 0 5x + 0 = 3 + -15y 5x = 3 + -15y Divide each side by '5'. x = 0.6 + -3y Simplifying x = 0.6 + -3y
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