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Simplifying 5x + 3(x + -5) + -9(y + -5) = 0 Reorder the terms: 5x + 3(-5 + x) + -9(y + -5) = 0 5x + (-5 * 3 + x * 3) + -9(y + -5) = 0 5x + (-15 + 3x) + -9(y + -5) = 0 Reorder the terms: 5x + -15 + 3x + -9(-5 + y) = 0 5x + -15 + 3x + (-5 * -9 + y * -9) = 0 5x + -15 + 3x + (45 + -9y) = 0 Reorder the terms: -15 + 45 + 5x + 3x + -9y = 0 Combine like terms: -15 + 45 = 30 30 + 5x + 3x + -9y = 0 Combine like terms: 5x + 3x = 8x 30 + 8x + -9y = 0 Solving 30 + 8x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 8x + -30 + -9y = 0 + -30 Reorder the terms: 30 + -30 + 8x + -9y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8x + -9y = 0 + -30 8x + -9y = 0 + -30 Combine like terms: 0 + -30 = -30 8x + -9y = -30 Add '9y' to each side of the equation. 8x + -9y + 9y = -30 + 9y Combine like terms: -9y + 9y = 0 8x + 0 = -30 + 9y 8x = -30 + 9y Divide each side by '8'. x = -3.75 + 1.125y Simplifying x = -3.75 + 1.125y
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