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Simplifying 13.94 + 0.13(x + 3) = 14.69 + 0.08x Reorder the terms: 13.94 + 0.13(3 + x) = 14.69 + 0.08x 13.94 + (3 * 0.13 + x * 0.13) = 14.69 + 0.08x 13.94 + (0.39 + 0.13x) = 14.69 + 0.08x Combine like terms: 13.94 + 0.39 = 14.33 14.33 + 0.13x = 14.69 + 0.08x Solving 14.33 + 0.13x = 14.69 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 14.33 + 0.13x + -0.08x = 14.69 + 0.08x + -0.08x Combine like terms: 0.13x + -0.08x = 0.05x 14.33 + 0.05x = 14.69 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 14.33 + 0.05x = 14.69 + 0.00 14.33 + 0.05x = 14.69 Add '-14.33' to each side of the equation. 14.33 + -14.33 + 0.05x = 14.69 + -14.33 Combine like terms: 14.33 + -14.33 = 0.00 0.00 + 0.05x = 14.69 + -14.33 0.05x = 14.69 + -14.33 Combine like terms: 14.69 + -14.33 = 0.36 0.05x = 0.36 Divide each side by '0.05'. x = 7.2 Simplifying x = 7.2
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