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Simplifying 15x + 7(x + -5) + -3(y + -5) = 0 Reorder the terms: 15x + 7(-5 + x) + -3(y + -5) = 0 15x + (-5 * 7 + x * 7) + -3(y + -5) = 0 15x + (-35 + 7x) + -3(y + -5) = 0 Reorder the terms: 15x + -35 + 7x + -3(-5 + y) = 0 15x + -35 + 7x + (-5 * -3 + y * -3) = 0 15x + -35 + 7x + (15 + -3y) = 0 Reorder the terms: -35 + 15 + 15x + 7x + -3y = 0 Combine like terms: -35 + 15 = -20 -20 + 15x + 7x + -3y = 0 Combine like terms: 15x + 7x = 22x -20 + 22x + -3y = 0 Solving -20 + 22x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 22x + 20 + -3y = 0 + 20 Reorder the terms: -20 + 20 + 22x + -3y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 22x + -3y = 0 + 20 22x + -3y = 0 + 20 Combine like terms: 0 + 20 = 20 22x + -3y = 20 Add '3y' to each side of the equation. 22x + -3y + 3y = 20 + 3y Combine like terms: -3y + 3y = 0 22x + 0 = 20 + 3y 22x = 20 + 3y Divide each side by '22'. x = 0.9090909091 + 0.1363636364y Simplifying x = 0.9090909091 + 0.1363636364y
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