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Simplifying 3(3x + 5y) + -1(4 + 3x) = 24 (3x * 3 + 5y * 3) + -1(4 + 3x) = 24 (9x + 15y) + -1(4 + 3x) = 24 9x + 15y + (4 * -1 + 3x * -1) = 24 9x + 15y + (-4 + -3x) = 24 Reorder the terms: -4 + 9x + -3x + 15y = 24 Combine like terms: 9x + -3x = 6x -4 + 6x + 15y = 24 Solving -4 + 6x + 15y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6x + 4 + 15y = 24 + 4 Reorder the terms: -4 + 4 + 6x + 15y = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 6x + 15y = 24 + 4 6x + 15y = 24 + 4 Combine like terms: 24 + 4 = 28 6x + 15y = 28 Add '-15y' to each side of the equation. 6x + 15y + -15y = 28 + -15y Combine like terms: 15y + -15y = 0 6x + 0 = 28 + -15y 6x = 28 + -15y Divide each side by '6'. x = 4.666666667 + -2.5y Simplifying x = 4.666666667 + -2.5y
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