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Simplifying 5x + -7(x + -5) + -3(y + -5) = 0 Reorder the terms: 5x + -7(-5 + x) + -3(y + -5) = 0 5x + (-5 * -7 + x * -7) + -3(y + -5) = 0 5x + (35 + -7x) + -3(y + -5) = 0 Reorder the terms: 5x + 35 + -7x + -3(-5 + y) = 0 5x + 35 + -7x + (-5 * -3 + y * -3) = 0 5x + 35 + -7x + (15 + -3y) = 0 Reorder the terms: 35 + 15 + 5x + -7x + -3y = 0 Combine like terms: 35 + 15 = 50 50 + 5x + -7x + -3y = 0 Combine like terms: 5x + -7x = -2x 50 + -2x + -3y = 0 Solving 50 + -2x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -2x + -50 + -3y = 0 + -50 Reorder the terms: 50 + -50 + -2x + -3y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -2x + -3y = 0 + -50 -2x + -3y = 0 + -50 Combine like terms: 0 + -50 = -50 -2x + -3y = -50 Add '3y' to each side of the equation. -2x + -3y + 3y = -50 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = -50 + 3y -2x = -50 + 3y Divide each side by '-2'. x = 25 + -1.5y Simplifying x = 25 + -1.5y
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