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Simplifying 0.9x + 0.3(x + 12) = 6 Reorder the terms: 0.9x + 0.3(12 + x) = 6 0.9x + (12 * 0.3 + x * 0.3) = 6 0.9x + (3.6 + 0.3x) = 6 Reorder the terms: 3.6 + 0.9x + 0.3x = 6 Combine like terms: 0.9x + 0.3x = 1.2x 3.6 + 1.2x = 6 Solving 3.6 + 1.2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6' to each side of the equation. 3.6 + -3.6 + 1.2x = 6 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 1.2x = 6 + -3.6 1.2x = 6 + -3.6 Combine like terms: 6 + -3.6 = 2.4 1.2x = 2.4 Divide each side by '1.2'. x = 2 Simplifying x = 2
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