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Simplifying 0.4(0.3x + -1) = 2 + 75x Reorder the terms: 0.4(-1 + 0.3x) = 2 + 75x (-1 * 0.4 + 0.3x * 0.4) = 2 + 75x (-0.4 + 0.12x) = 2 + 75x Solving -0.4 + 0.12x = 2 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. -0.4 + 0.12x + -75x = 2 + 75x + -75x Combine like terms: 0.12x + -75x = -74.88x -0.4 + -74.88x = 2 + 75x + -75x Combine like terms: 75x + -75x = 0 -0.4 + -74.88x = 2 + 0 -0.4 + -74.88x = 2 Add '0.4' to each side of the equation. -0.4 + 0.4 + -74.88x = 2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -74.88x = 2 + 0.4 -74.88x = 2 + 0.4 Combine like terms: 2 + 0.4 = 2.4 -74.88x = 2.4 Divide each side by '-74.88'. x = -0.03205128205 Simplifying x = -0.03205128205
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