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Simplifying -6.2(4x + 6) + -1.2(3x + -5) = 0 Reorder the terms: -6.2(6 + 4x) + -1.2(3x + -5) = 0 (6 * -6.2 + 4x * -6.2) + -1.2(3x + -5) = 0 (-37.2 + -24.8x) + -1.2(3x + -5) = 0 Reorder the terms: -37.2 + -24.8x + -1.2(-5 + 3x) = 0 -37.2 + -24.8x + (-5 * -1.2 + 3x * -1.2) = 0 -37.2 + -24.8x + (6 + -3.6x) = 0 Reorder the terms: -37.2 + 6 + -24.8x + -3.6x = 0 Combine like terms: -37.2 + 6 = -31.2 -31.2 + -24.8x + -3.6x = 0 Combine like terms: -24.8x + -3.6x = -28.4x -31.2 + -28.4x = 0 Solving -31.2 + -28.4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31.2' to each side of the equation. -31.2 + 31.2 + -28.4x = 0 + 31.2 Combine like terms: -31.2 + 31.2 = 0.0 0.0 + -28.4x = 0 + 31.2 -28.4x = 0 + 31.2 Combine like terms: 0 + 31.2 = 31.2 -28.4x = 31.2 Divide each side by '-28.4'. x = -1.098591549 Simplifying x = -1.098591549
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