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Simplifying 0.5(x + 4.0) + 0.1x = 29 Reorder the terms: 0.5(4.0 + x) + 0.1x = 29 (4.0 * 0.5 + x * 0.5) + 0.1x = 29 (2 + 0.5x) + 0.1x = 29 Combine like terms: 0.5x + 0.1x = 0.6x 2 + 0.6x = 29 Solving 2 + 0.6x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.6x = 29 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6x = 29 + -2 0.6x = 29 + -2 Combine like terms: 29 + -2 = 27 0.6x = 27 Divide each side by '0.6'. x = 45 Simplifying x = 45
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