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Simplifying 0.8x + 0.6(x + 9) = 12.4 Reorder the terms: 0.8x + 0.6(9 + x) = 12.4 0.8x + (9 * 0.6 + x * 0.6) = 12.4 0.8x + (5.4 + 0.6x) = 12.4 Reorder the terms: 5.4 + 0.8x + 0.6x = 12.4 Combine like terms: 0.8x + 0.6x = 1.4x 5.4 + 1.4x = 12.4 Solving 5.4 + 1.4x = 12.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4' to each side of the equation. 5.4 + -5.4 + 1.4x = 12.4 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 1.4x = 12.4 + -5.4 1.4x = 12.4 + -5.4 Combine like terms: 12.4 + -5.4 = 7 1.4x = 7 Divide each side by '1.4'. x = 5 Simplifying x = 5
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