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Simplifying 0.75(8 + 4x) + -0.3(6x + 3) = 9 (8 * 0.75 + 4x * 0.75) + -0.3(6x + 3) = 9 (6 + 3x) + -0.3(6x + 3) = 9 Reorder the terms: 6 + 3x + -0.3(3 + 6x) = 9 6 + 3x + (3 * -0.3 + 6x * -0.3) = 9 6 + 3x + (-0.9 + -1.8x) = 9 Reorder the terms: 6 + -0.9 + 3x + -1.8x = 9 Combine like terms: 6 + -0.9 = 5.1 5.1 + 3x + -1.8x = 9 Combine like terms: 3x + -1.8x = 1.2x 5.1 + 1.2x = 9 Solving 5.1 + 1.2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.1' to each side of the equation. 5.1 + -5.1 + 1.2x = 9 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + 1.2x = 9 + -5.1 1.2x = 9 + -5.1 Combine like terms: 9 + -5.1 = 3.9 1.2x = 3.9 Divide each side by '1.2'. x = 3.25 Simplifying x = 3.25
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