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Simplifying 0.667(0.75x + 0.5) = 0.5(0.667x + -0.2) Reorder the terms: 0.667(0.5 + 0.75x) = 0.5(0.667x + -0.2) (0.5 * 0.667 + 0.75x * 0.667) = 0.5(0.667x + -0.2) (0.3335 + 0.50025x) = 0.5(0.667x + -0.2) Reorder the terms: 0.3335 + 0.50025x = 0.5(-0.2 + 0.667x) 0.3335 + 0.50025x = (-0.2 * 0.5 + 0.667x * 0.5) 0.3335 + 0.50025x = (-0.1 + 0.3335x) Solving 0.3335 + 0.50025x = -0.1 + 0.3335x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3335x' to each side of the equation. 0.3335 + 0.50025x + -0.3335x = -0.1 + 0.3335x + -0.3335x Combine like terms: 0.50025x + -0.3335x = 0.16675x 0.3335 + 0.16675x = -0.1 + 0.3335x + -0.3335x Combine like terms: 0.3335x + -0.3335x = 0.0000 0.3335 + 0.16675x = -0.1 + 0.0000 0.3335 + 0.16675x = -0.1 Add '-0.3335' to each side of the equation. 0.3335 + -0.3335 + 0.16675x = -0.1 + -0.3335 Combine like terms: 0.3335 + -0.3335 = 0.0000 0.0000 + 0.16675x = -0.1 + -0.3335 0.16675x = -0.1 + -0.3335 Combine like terms: -0.1 + -0.3335 = -0.4335 0.16675x = -0.4335 Divide each side by '0.16675'. x = -2.59970015 Simplifying x = -2.59970015
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