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Simplifying 5(y + 3) + -2(x + -3) = 0 Reorder the terms: 5(3 + y) + -2(x + -3) = 0 (3 * 5 + y * 5) + -2(x + -3) = 0 (15 + 5y) + -2(x + -3) = 0 Reorder the terms: 15 + 5y + -2(-3 + x) = 0 15 + 5y + (-3 * -2 + x * -2) = 0 15 + 5y + (6 + -2x) = 0 Reorder the terms: 15 + 6 + -2x + 5y = 0 Combine like terms: 15 + 6 = 21 21 + -2x + 5y = 0 Solving 21 + -2x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -2x + -21 + 5y = 0 + -21 Reorder the terms: 21 + -21 + -2x + 5y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x + 5y = 0 + -21 -2x + 5y = 0 + -21 Combine like terms: 0 + -21 = -21 -2x + 5y = -21 Add '-5y' to each side of the equation. -2x + 5y + -5y = -21 + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = -21 + -5y -2x = -21 + -5y Divide each side by '-2'. x = 10.5 + 2.5y Simplifying x = 10.5 + 2.5y
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