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Simplifying -6.3(4x + 6) + -2.1(3x + -5) = 0 Reorder the terms: -6.3(6 + 4x) + -2.1(3x + -5) = 0 (6 * -6.3 + 4x * -6.3) + -2.1(3x + -5) = 0 (-37.8 + -25.2x) + -2.1(3x + -5) = 0 Reorder the terms: -37.8 + -25.2x + -2.1(-5 + 3x) = 0 -37.8 + -25.2x + (-5 * -2.1 + 3x * -2.1) = 0 -37.8 + -25.2x + (10.5 + -6.3x) = 0 Reorder the terms: -37.8 + 10.5 + -25.2x + -6.3x = 0 Combine like terms: -37.8 + 10.5 = -27.3 -27.3 + -25.2x + -6.3x = 0 Combine like terms: -25.2x + -6.3x = -31.5x -27.3 + -31.5x = 0 Solving -27.3 + -31.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27.3' to each side of the equation. -27.3 + 27.3 + -31.5x = 0 + 27.3 Combine like terms: -27.3 + 27.3 = 0.0 0.0 + -31.5x = 0 + 27.3 -31.5x = 0 + 27.3 Combine like terms: 0 + 27.3 = 27.3 -31.5x = 27.3 Divide each side by '-31.5'. x = -0.8666666667 Simplifying x = -0.8666666667
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