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Simplifying 0.3(x + 90) + 0.5x = 43 Reorder the terms: 0.3(90 + x) + 0.5x = 43 (90 * 0.3 + x * 0.3) + 0.5x = 43 (27 + 0.3x) + 0.5x = 43 Combine like terms: 0.3x + 0.5x = 0.8x 27 + 0.8x = 43 Solving 27 + 0.8x = 43 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 + 0.8x = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 0.8x = 43 + -27 0.8x = 43 + -27 Combine like terms: 43 + -27 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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