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Simplifying 0.33(2x + 3) + -0.20(x + 6) = 4 Reorder the terms: 0.33(3 + 2x) + -0.20(x + 6) = 4 (3 * 0.33 + 2x * 0.33) + -0.20(x + 6) = 4 (0.99 + 0.66x) + -0.20(x + 6) = 4 Reorder the terms: 0.99 + 0.66x + -0.20(6 + x) = 4 0.99 + 0.66x + (6 * -0.20 + x * -0.20) = 4 0.99 + 0.66x + (-1.2 + -0.20x) = 4 Reorder the terms: 0.99 + -1.2 + 0.66x + -0.20x = 4 Combine like terms: 0.99 + -1.2 = -0.21 -0.21 + 0.66x + -0.20x = 4 Combine like terms: 0.66x + -0.20x = 0.46x -0.21 + 0.46x = 4 Solving -0.21 + 0.46x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.46x = 4 + 0.21 Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.46x = 4 + 0.21 0.46x = 4 + 0.21 Combine like terms: 4 + 0.21 = 4.21 0.46x = 4.21 Divide each side by '0.46'. x = 9.152173913 Simplifying x = 9.152173913
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