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Simplifying -5.4(4x + 6) + -2.4(3x + -5) = 0 Reorder the terms: -5.4(6 + 4x) + -2.4(3x + -5) = 0 (6 * -5.4 + 4x * -5.4) + -2.4(3x + -5) = 0 (-32.4 + -21.6x) + -2.4(3x + -5) = 0 Reorder the terms: -32.4 + -21.6x + -2.4(-5 + 3x) = 0 -32.4 + -21.6x + (-5 * -2.4 + 3x * -2.4) = 0 -32.4 + -21.6x + (12 + -7.2x) = 0 Reorder the terms: -32.4 + 12 + -21.6x + -7.2x = 0 Combine like terms: -32.4 + 12 = -20.4 -20.4 + -21.6x + -7.2x = 0 Combine like terms: -21.6x + -7.2x = -28.8x -20.4 + -28.8x = 0 Solving -20.4 + -28.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20.4' to each side of the equation. -20.4 + 20.4 + -28.8x = 0 + 20.4 Combine like terms: -20.4 + 20.4 = 0.0 0.0 + -28.8x = 0 + 20.4 -28.8x = 0 + 20.4 Combine like terms: 0 + 20.4 = 20.4 -28.8x = 20.4 Divide each side by '-28.8'. x = -0.7083333333 Simplifying x = -0.7083333333
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