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Simplifying -6.2(2x + 5) + -2.4(3x + -6) = 0 Reorder the terms: -6.2(5 + 2x) + -2.4(3x + -6) = 0 (5 * -6.2 + 2x * -6.2) + -2.4(3x + -6) = 0 (-31 + -12.4x) + -2.4(3x + -6) = 0 Reorder the terms: -31 + -12.4x + -2.4(-6 + 3x) = 0 -31 + -12.4x + (-6 * -2.4 + 3x * -2.4) = 0 -31 + -12.4x + (14.4 + -7.2x) = 0 Reorder the terms: -31 + 14.4 + -12.4x + -7.2x = 0 Combine like terms: -31 + 14.4 = -16.6 -16.6 + -12.4x + -7.2x = 0 Combine like terms: -12.4x + -7.2x = -19.6x -16.6 + -19.6x = 0 Solving -16.6 + -19.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16.6' to each side of the equation. -16.6 + 16.6 + -19.6x = 0 + 16.6 Combine like terms: -16.6 + 16.6 = 0.0 0.0 + -19.6x = 0 + 16.6 -19.6x = 0 + 16.6 Combine like terms: 0 + 16.6 = 16.6 -19.6x = 16.6 Divide each side by '-19.6'. x = -0.8469387755 Simplifying x = -0.8469387755
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