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Simplifying 13.96 + 0.11(x + 3) = 14.71 + -0.07x Reorder the terms: 13.96 + 0.11(3 + x) = 14.71 + -0.07x 13.96 + (3 * 0.11 + x * 0.11) = 14.71 + -0.07x 13.96 + (0.33 + 0.11x) = 14.71 + -0.07x Combine like terms: 13.96 + 0.33 = 14.29 14.29 + 0.11x = 14.71 + -0.07x Solving 14.29 + 0.11x = 14.71 + -0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07x' to each side of the equation. 14.29 + 0.11x + 0.07x = 14.71 + -0.07x + 0.07x Combine like terms: 0.11x + 0.07x = 0.18x 14.29 + 0.18x = 14.71 + -0.07x + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 14.29 + 0.18x = 14.71 + 0.00 14.29 + 0.18x = 14.71 Add '-14.29' to each side of the equation. 14.29 + -14.29 + 0.18x = 14.71 + -14.29 Combine like terms: 14.29 + -14.29 = 0.00 0.00 + 0.18x = 14.71 + -14.29 0.18x = 14.71 + -14.29 Combine like terms: 14.71 + -14.29 = 0.42 0.18x = 0.42 Divide each side by '0.18'. x = 2.333333333 Simplifying x = 2.333333333
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