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Simplifying -5(x + 2) = 3(y + 2) Reorder the terms: -5(2 + x) = 3(y + 2) (2 * -5 + x * -5) = 3(y + 2) (-10 + -5x) = 3(y + 2) Reorder the terms: -10 + -5x = 3(2 + y) -10 + -5x = (2 * 3 + y * 3) -10 + -5x = (6 + 3y) Solving -10 + -5x = 6 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5x = 6 + 10 + 3y Combine like terms: -10 + 10 = 0 0 + -5x = 6 + 10 + 3y -5x = 6 + 10 + 3y Combine like terms: 6 + 10 = 16 -5x = 16 + 3y Divide each side by '-5'. x = -3.2 + -0.6y Simplifying x = -3.2 + -0.6y
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