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Simplifying 0.4(0.3x + -1) = 2 + 0.75x Reorder the terms: 0.4(-1 + 0.3x) = 2 + 0.75x (-1 * 0.4 + 0.3x * 0.4) = 2 + 0.75x (-0.4 + 0.12x) = 2 + 0.75x Solving -0.4 + 0.12x = 2 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -0.4 + 0.12x + -0.75x = 2 + 0.75x + -0.75x Combine like terms: 0.12x + -0.75x = -0.63x -0.4 + -0.63x = 2 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.4 + -0.63x = 2 + 0.00 -0.4 + -0.63x = 2 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.63x = 2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.63x = 2 + 0.4 -0.63x = 2 + 0.4 Combine like terms: 2 + 0.4 = 2.4 -0.63x = 2.4 Divide each side by '-0.63'. x = -3.80952381 Simplifying x = -3.80952381
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