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Simplifying -6.7(3x + 6) + -2.6(2x + -5) = 0 Reorder the terms: -6.7(6 + 3x) + -2.6(2x + -5) = 0 (6 * -6.7 + 3x * -6.7) + -2.6(2x + -5) = 0 (-40.2 + -20.1x) + -2.6(2x + -5) = 0 Reorder the terms: -40.2 + -20.1x + -2.6(-5 + 2x) = 0 -40.2 + -20.1x + (-5 * -2.6 + 2x * -2.6) = 0 -40.2 + -20.1x + (13 + -5.2x) = 0 Reorder the terms: -40.2 + 13 + -20.1x + -5.2x = 0 Combine like terms: -40.2 + 13 = -27.2 -27.2 + -20.1x + -5.2x = 0 Combine like terms: -20.1x + -5.2x = -25.3x -27.2 + -25.3x = 0 Solving -27.2 + -25.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27.2' to each side of the equation. -27.2 + 27.2 + -25.3x = 0 + 27.2 Combine like terms: -27.2 + 27.2 = 0.0 0.0 + -25.3x = 0 + 27.2 -25.3x = 0 + 27.2 Combine like terms: 0 + 27.2 = 27.2 -25.3x = 27.2 Divide each side by '-25.3'. x = -1.075098814 Simplifying x = -1.075098814
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