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Simplifying 5(3x + 4y + -8) + 2(4x + 2y + -6) = 0 Reorder the terms: 5(-8 + 3x + 4y) + 2(4x + 2y + -6) = 0 (-8 * 5 + 3x * 5 + 4y * 5) + 2(4x + 2y + -6) = 0 (-40 + 15x + 20y) + 2(4x + 2y + -6) = 0 Reorder the terms: -40 + 15x + 20y + 2(-6 + 4x + 2y) = 0 -40 + 15x + 20y + (-6 * 2 + 4x * 2 + 2y * 2) = 0 -40 + 15x + 20y + (-12 + 8x + 4y) = 0 Reorder the terms: -40 + -12 + 15x + 8x + 20y + 4y = 0 Combine like terms: -40 + -12 = -52 -52 + 15x + 8x + 20y + 4y = 0 Combine like terms: 15x + 8x = 23x -52 + 23x + 20y + 4y = 0 Combine like terms: 20y + 4y = 24y -52 + 23x + 24y = 0 Solving -52 + 23x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 23x + 52 + 24y = 0 + 52 Reorder the terms: -52 + 52 + 23x + 24y = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 23x + 24y = 0 + 52 23x + 24y = 0 + 52 Combine like terms: 0 + 52 = 52 23x + 24y = 52 Add '-24y' to each side of the equation. 23x + 24y + -24y = 52 + -24y Combine like terms: 24y + -24y = 0 23x + 0 = 52 + -24y 23x = 52 + -24y Divide each side by '23'. x = 2.260869565 + -1.043478261y Simplifying x = 2.260869565 + -1.043478261y
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