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Simplifying 0.04(x + 10) + 0.6x = 29 Reorder the terms: 0.04(10 + x) + 0.6x = 29 (10 * 0.04 + x * 0.04) + 0.6x = 29 (0.4 + 0.04x) + 0.6x = 29 Combine like terms: 0.04x + 0.6x = 0.64x 0.4 + 0.64x = 29 Solving 0.4 + 0.64x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.64x = 29 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.64x = 29 + -0.4 0.64x = 29 + -0.4 Combine like terms: 29 + -0.4 = 28.6 0.64x = 28.6 Divide each side by '0.64'. x = 44.6875 Simplifying x = 44.6875
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