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Simplifying 0.5(x + 4) = 0.33(2x + 1) Reorder the terms: 0.5(4 + x) = 0.33(2x + 1) (4 * 0.5 + x * 0.5) = 0.33(2x + 1) (2 + 0.5x) = 0.33(2x + 1) Reorder the terms: 2 + 0.5x = 0.33(1 + 2x) 2 + 0.5x = (1 * 0.33 + 2x * 0.33) 2 + 0.5x = (0.33 + 0.66x) Solving 2 + 0.5x = 0.33 + 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. 2 + 0.5x + -0.66x = 0.33 + 0.66x + -0.66x Combine like terms: 0.5x + -0.66x = -0.16x 2 + -0.16x = 0.33 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 2 + -0.16x = 0.33 + 0.00 2 + -0.16x = 0.33 Add '-2' to each side of the equation. 2 + -2 + -0.16x = 0.33 + -2 Combine like terms: 2 + -2 = 0 0 + -0.16x = 0.33 + -2 -0.16x = 0.33 + -2 Combine like terms: 0.33 + -2 = -1.67 -0.16x = -1.67 Divide each side by '-0.16'. x = 10.4375 Simplifying x = 10.4375
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