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Simplifying 2(x + -5) = 3(y + -3) Reorder the terms: 2(-5 + x) = 3(y + -3) (-5 * 2 + x * 2) = 3(y + -3) (-10 + 2x) = 3(y + -3) Reorder the terms: -10 + 2x = 3(-3 + y) -10 + 2x = (-3 * 3 + y * 3) -10 + 2x = (-9 + 3y) Solving -10 + 2x = -9 + 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 + 2x = -9 + 10 + 3y Combine like terms: -10 + 10 = 0 0 + 2x = -9 + 10 + 3y 2x = -9 + 10 + 3y Combine like terms: -9 + 10 = 1 2x = 1 + 3y Divide each side by '2'. x = 0.5 + 1.5y Simplifying x = 0.5 + 1.5y
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