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Simplifying 4(x + -5) + -5(y + 8) = 80 Reorder the terms: 4(-5 + x) + -5(y + 8) = 80 (-5 * 4 + x * 4) + -5(y + 8) = 80 (-20 + 4x) + -5(y + 8) = 80 Reorder the terms: -20 + 4x + -5(8 + y) = 80 -20 + 4x + (8 * -5 + y * -5) = 80 -20 + 4x + (-40 + -5y) = 80 Reorder the terms: -20 + -40 + 4x + -5y = 80 Combine like terms: -20 + -40 = -60 -60 + 4x + -5y = 80 Solving -60 + 4x + -5y = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 4x + 60 + -5y = 80 + 60 Reorder the terms: -60 + 60 + 4x + -5y = 80 + 60 Combine like terms: -60 + 60 = 0 0 + 4x + -5y = 80 + 60 4x + -5y = 80 + 60 Combine like terms: 80 + 60 = 140 4x + -5y = 140 Add '5y' to each side of the equation. 4x + -5y + 5y = 140 + 5y Combine like terms: -5y + 5y = 0 4x + 0 = 140 + 5y 4x = 140 + 5y Divide each side by '4'. x = 35 + 1.25y Simplifying x = 35 + 1.25y
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