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Simplifying 0.2(x + 90) + 0.4x = 27 Reorder the terms: 0.2(90 + x) + 0.4x = 27 (90 * 0.2 + x * 0.2) + 0.4x = 27 (18 + 0.2x) + 0.4x = 27 Combine like terms: 0.2x + 0.4x = 0.6x 18 + 0.6x = 27 Solving 18 + 0.6x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 0.6x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 0.6x = 27 + -18 0.6x = 27 + -18 Combine like terms: 27 + -18 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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