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Simplifying (5x + -3) * 0.4 + -8x = 0 Reorder the terms: (-3 + 5x) * 0.4 + -8x = 0 Reorder the terms for easier multiplication: 0.4(-3 + 5x) + -8x = 0 (-3 * 0.4 + 5x * 0.4) + -8x = 0 (-1.2 + 2x) + -8x = 0 Combine like terms: 2x + -8x = -6x -1.2 + -6x = 0 Solving -1.2 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + -6x = 0 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -6x = 0 + 1.2 -6x = 0 + 1.2 Combine like terms: 0 + 1.2 = 1.2 -6x = 1.2 Divide each side by '-6'. x = -0.2 Simplifying x = -0.2
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