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Simplifying 0.5x + 3 = 0.66x + 1 Reorder the terms: 3 + 0.5x = 0.66x + 1 Reorder the terms: 3 + 0.5x = 1 + 0.66x Solving 3 + 0.5x = 1 + 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. 3 + 0.5x + -0.66x = 1 + 0.66x + -0.66x Combine like terms: 0.5x + -0.66x = -0.16x 3 + -0.16x = 1 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 3 + -0.16x = 1 + 0.00 3 + -0.16x = 1 Add '-3' to each side of the equation. 3 + -3 + -0.16x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -0.16x = 1 + -3 -0.16x = 1 + -3 Combine like terms: 1 + -3 = -2 -0.16x = -2 Divide each side by '-0.16'. x = 12.5 Simplifying x = 12.5
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