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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 = 1.6 -0.63x = 1.6 Divide each side by '-0.63'. x = -2.53968254 Simplifying x = -2.53968254
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