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Simplifying -6.2(3x + 5) + -1.9(4x + -6) = 0 Reorder the terms: -6.2(5 + 3x) + -1.9(4x + -6) = 0 (5 * -6.2 + 3x * -6.2) + -1.9(4x + -6) = 0 (-31 + -18.6x) + -1.9(4x + -6) = 0 Reorder the terms: -31 + -18.6x + -1.9(-6 + 4x) = 0 -31 + -18.6x + (-6 * -1.9 + 4x * -1.9) = 0 -31 + -18.6x + (11.4 + -7.6x) = 0 Reorder the terms: -31 + 11.4 + -18.6x + -7.6x = 0 Combine like terms: -31 + 11.4 = -19.6 -19.6 + -18.6x + -7.6x = 0 Combine like terms: -18.6x + -7.6x = -26.2x -19.6 + -26.2x = 0 Solving -19.6 + -26.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.6' to each side of the equation. -19.6 + 19.6 + -26.2x = 0 + 19.6 Combine like terms: -19.6 + 19.6 = 0.0 0.0 + -26.2x = 0 + 19.6 -26.2x = 0 + 19.6 Combine like terms: 0 + 19.6 = 19.6 -26.2x = 19.6 Divide each side by '-26.2'. x = -0.7480916031 Simplifying x = -0.7480916031
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