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Simplifying 0.5x + 4 = -0.66x + 0.5 Reorder the terms: 4 + 0.5x = -0.66x + 0.5 Reorder the terms: 4 + 0.5x = 0.5 + -0.66x Solving 4 + 0.5x = 0.5 + -0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.66x' to each side of the equation. 4 + 0.5x + 0.66x = 0.5 + -0.66x + 0.66x Combine like terms: 0.5x + 0.66x = 1.16x 4 + 1.16x = 0.5 + -0.66x + 0.66x Combine like terms: -0.66x + 0.66x = 0.00 4 + 1.16x = 0.5 + 0.00 4 + 1.16x = 0.5 Add '-4' to each side of the equation. 4 + -4 + 1.16x = 0.5 + -4 Combine like terms: 4 + -4 = 0 0 + 1.16x = 0.5 + -4 1.16x = 0.5 + -4 Combine like terms: 0.5 + -4 = -3.5 1.16x = -3.5 Divide each side by '1.16'. x = -3.017241379 Simplifying x = -3.017241379
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