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Simplifying 0.3(x + 90) + 0.1x = 31 Reorder the terms: 0.3(90 + x) + 0.1x = 31 (90 * 0.3 + x * 0.3) + 0.1x = 31 (27 + 0.3x) + 0.1x = 31 Combine like terms: 0.3x + 0.1x = 0.4x 27 + 0.4x = 31 Solving 27 + 0.4x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 0.4x = 31 + -27 Combine like terms: 27 + -27 = 0 0 + 0.4x = 31 + -27 0.4x = 31 + -27 Combine like terms: 31 + -27 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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