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Simplifying -6.8(4x + 6) + -1.6(3x + -5) = 0 Reorder the terms: -6.8(6 + 4x) + -1.6(3x + -5) = 0 (6 * -6.8 + 4x * -6.8) + -1.6(3x + -5) = 0 (-40.8 + -27.2x) + -1.6(3x + -5) = 0 Reorder the terms: -40.8 + -27.2x + -1.6(-5 + 3x) = 0 -40.8 + -27.2x + (-5 * -1.6 + 3x * -1.6) = 0 -40.8 + -27.2x + (8 + -4.8x) = 0 Reorder the terms: -40.8 + 8 + -27.2x + -4.8x = 0 Combine like terms: -40.8 + 8 = -32.8 -32.8 + -27.2x + -4.8x = 0 Combine like terms: -27.2x + -4.8x = -32x -32.8 + -32x = 0 Solving -32.8 + -32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.8' to each side of the equation. -32.8 + 32.8 + -32x = 0 + 32.8 Combine like terms: -32.8 + 32.8 = 0.0 0.0 + -32x = 0 + 32.8 -32x = 0 + 32.8 Combine like terms: 0 + 32.8 = 32.8 -32x = 32.8 Divide each side by '-32'. x = -1.025 Simplifying x = -1.025
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