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Simplifying 0.3x + 0.1(x + 9) = 12.6 Reorder the terms: 0.3x + 0.1(9 + x) = 12.6 0.3x + (9 * 0.1 + x * 0.1) = 12.6 0.3x + (0.9 + 0.1x) = 12.6 Reorder the terms: 0.9 + 0.3x + 0.1x = 12.6 Combine like terms: 0.3x + 0.1x = 0.4x 0.9 + 0.4x = 12.6 Solving 0.9 + 0.4x = 12.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.4x = 12.6 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.4x = 12.6 + -0.9 0.4x = 12.6 + -0.9 Combine like terms: 12.6 + -0.9 = 11.7 0.4x = 11.7 Divide each side by '0.4'. x = 29.25 Simplifying x = 29.25
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