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Simplifying 2(x + -5) = 5(y + -1) + 3y Reorder the terms: 2(-5 + x) = 5(y + -1) + 3y (-5 * 2 + x * 2) = 5(y + -1) + 3y (-10 + 2x) = 5(y + -1) + 3y Reorder the terms: -10 + 2x = 5(-1 + y) + 3y -10 + 2x = (-1 * 5 + y * 5) + 3y -10 + 2x = (-5 + 5y) + 3y Combine like terms: 5y + 3y = 8y -10 + 2x = -5 + 8y Solving -10 + 2x = -5 + 8y 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 = -5 + 10 + 8y Combine like terms: -10 + 10 = 0 0 + 2x = -5 + 10 + 8y 2x = -5 + 10 + 8y Combine like terms: -5 + 10 = 5 2x = 5 + 8y Divide each side by '2'. x = 2.5 + 4y Simplifying x = 2.5 + 4y
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