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Simplifying 0.6(x + 30) + 0.4x = 47 Reorder the terms: 0.6(30 + x) + 0.4x = 47 (30 * 0.6 + x * 0.6) + 0.4x = 47 (18 + 0.6x) + 0.4x = 47 Combine like terms: 0.6x + 0.4x = 1x 18 + 1x = 47 Solving 18 + 1x = 47 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 + 1x = 47 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 47 + -18 1x = 47 + -18 Combine like terms: 47 + -18 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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