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Simplifying -6.8(4x + 6) + -2.8(2x + -5) = 0 Reorder the terms: -6.8(6 + 4x) + -2.8(2x + -5) = 0 (6 * -6.8 + 4x * -6.8) + -2.8(2x + -5) = 0 (-40.8 + -27.2x) + -2.8(2x + -5) = 0 Reorder the terms: -40.8 + -27.2x + -2.8(-5 + 2x) = 0 -40.8 + -27.2x + (-5 * -2.8 + 2x * -2.8) = 0 -40.8 + -27.2x + (14 + -5.6x) = 0 Reorder the terms: -40.8 + 14 + -27.2x + -5.6x = 0 Combine like terms: -40.8 + 14 = -26.8 -26.8 + -27.2x + -5.6x = 0 Combine like terms: -27.2x + -5.6x = -32.8x -26.8 + -32.8x = 0 Solving -26.8 + -32.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26.8' to each side of the equation. -26.8 + 26.8 + -32.8x = 0 + 26.8 Combine like terms: -26.8 + 26.8 = 0.0 0.0 + -32.8x = 0 + 26.8 -32.8x = 0 + 26.8 Combine like terms: 0 + 26.8 = 26.8 -32.8x = 26.8 Divide each side by '-32.8'. x = -0.8170731707 Simplifying x = -0.8170731707
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