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Simplifying 5(5x + 3y + -8) + 4(-3x + -2y + -5) = 0 Reorder the terms: 5(-8 + 5x + 3y) + 4(-3x + -2y + -5) = 0 (-8 * 5 + 5x * 5 + 3y * 5) + 4(-3x + -2y + -5) = 0 (-40 + 25x + 15y) + 4(-3x + -2y + -5) = 0 Reorder the terms: -40 + 25x + 15y + 4(-5 + -3x + -2y) = 0 -40 + 25x + 15y + (-5 * 4 + -3x * 4 + -2y * 4) = 0 -40 + 25x + 15y + (-20 + -12x + -8y) = 0 Reorder the terms: -40 + -20 + 25x + -12x + 15y + -8y = 0 Combine like terms: -40 + -20 = -60 -60 + 25x + -12x + 15y + -8y = 0 Combine like terms: 25x + -12x = 13x -60 + 13x + 15y + -8y = 0 Combine like terms: 15y + -8y = 7y -60 + 13x + 7y = 0 Solving -60 + 13x + 7y = 0 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 + 13x + 60 + 7y = 0 + 60 Reorder the terms: -60 + 60 + 13x + 7y = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 13x + 7y = 0 + 60 13x + 7y = 0 + 60 Combine like terms: 0 + 60 = 60 13x + 7y = 60 Add '-7y' to each side of the equation. 13x + 7y + -7y = 60 + -7y Combine like terms: 7y + -7y = 0 13x + 0 = 60 + -7y 13x = 60 + -7y Divide each side by '13'. x = 4.615384615 + -0.5384615385y Simplifying x = 4.615384615 + -0.5384615385y
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