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Simplifying 0.75(8 + 4x) + -0.33(6x + 3) = 9 (8 * 0.75 + 4x * 0.75) + -0.33(6x + 3) = 9 (6 + 3x) + -0.33(6x + 3) = 9 Reorder the terms: 6 + 3x + -0.33(3 + 6x) = 9 6 + 3x + (3 * -0.33 + 6x * -0.33) = 9 6 + 3x + (-0.99 + -1.98x) = 9 Reorder the terms: 6 + -0.99 + 3x + -1.98x = 9 Combine like terms: 6 + -0.99 = 5.01 5.01 + 3x + -1.98x = 9 Combine like terms: 3x + -1.98x = 1.02x 5.01 + 1.02x = 9 Solving 5.01 + 1.02x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.01' to each side of the equation. 5.01 + -5.01 + 1.02x = 9 + -5.01 Combine like terms: 5.01 + -5.01 = 0.00 0.00 + 1.02x = 9 + -5.01 1.02x = 9 + -5.01 Combine like terms: 9 + -5.01 = 3.99 1.02x = 3.99 Divide each side by '1.02'. x = 3.911764706 Simplifying x = 3.911764706
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