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Simplifying -5.7(4x + 6) + -2.4(3x + -5) = 0 Reorder the terms: -5.7(6 + 4x) + -2.4(3x + -5) = 0 (6 * -5.7 + 4x * -5.7) + -2.4(3x + -5) = 0 (-34.2 + -22.8x) + -2.4(3x + -5) = 0 Reorder the terms: -34.2 + -22.8x + -2.4(-5 + 3x) = 0 -34.2 + -22.8x + (-5 * -2.4 + 3x * -2.4) = 0 -34.2 + -22.8x + (12 + -7.2x) = 0 Reorder the terms: -34.2 + 12 + -22.8x + -7.2x = 0 Combine like terms: -34.2 + 12 = -22.2 -22.2 + -22.8x + -7.2x = 0 Combine like terms: -22.8x + -7.2x = -30x -22.2 + -30x = 0 Solving -22.2 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.2' to each side of the equation. -22.2 + 22.2 + -30x = 0 + 22.2 Combine like terms: -22.2 + 22.2 = 0.0 0.0 + -30x = 0 + 22.2 -30x = 0 + 22.2 Combine like terms: 0 + 22.2 = 22.2 -30x = 22.2 Divide each side by '-30'. x = -0.74 Simplifying x = -0.74
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