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Simplifying 4(x + -2) + -5(y + 3) = 60 Reorder the terms: 4(-2 + x) + -5(y + 3) = 60 (-2 * 4 + x * 4) + -5(y + 3) = 60 (-8 + 4x) + -5(y + 3) = 60 Reorder the terms: -8 + 4x + -5(3 + y) = 60 -8 + 4x + (3 * -5 + y * -5) = 60 -8 + 4x + (-15 + -5y) = 60 Reorder the terms: -8 + -15 + 4x + -5y = 60 Combine like terms: -8 + -15 = -23 -23 + 4x + -5y = 60 Solving -23 + 4x + -5y = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 4x + 23 + -5y = 60 + 23 Reorder the terms: -23 + 23 + 4x + -5y = 60 + 23 Combine like terms: -23 + 23 = 0 0 + 4x + -5y = 60 + 23 4x + -5y = 60 + 23 Combine like terms: 60 + 23 = 83 4x + -5y = 83 Add '5y' to each side of the equation. 4x + -5y + 5y = 83 + 5y Combine like terms: -5y + 5y = 0 4x + 0 = 83 + 5y 4x = 83 + 5y Divide each side by '4'. x = 20.75 + 1.25y Simplifying x = 20.75 + 1.25y
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