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Simplifying 15.47 + 0.06(x + 3) = 15.97 + -0.11x Reorder the terms: 15.47 + 0.06(3 + x) = 15.97 + -0.11x 15.47 + (3 * 0.06 + x * 0.06) = 15.97 + -0.11x 15.47 + (0.18 + 0.06x) = 15.97 + -0.11x Combine like terms: 15.47 + 0.18 = 15.65 15.65 + 0.06x = 15.97 + -0.11x Solving 15.65 + 0.06x = 15.97 + -0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.11x' to each side of the equation. 15.65 + 0.06x + 0.11x = 15.97 + -0.11x + 0.11x Combine like terms: 0.06x + 0.11x = 0.17x 15.65 + 0.17x = 15.97 + -0.11x + 0.11x Combine like terms: -0.11x + 0.11x = 0.00 15.65 + 0.17x = 15.97 + 0.00 15.65 + 0.17x = 15.97 Add '-15.65' to each side of the equation. 15.65 + -15.65 + 0.17x = 15.97 + -15.65 Combine like terms: 15.65 + -15.65 = 0.00 0.00 + 0.17x = 15.97 + -15.65 0.17x = 15.97 + -15.65 Combine like terms: 15.97 + -15.65 = 0.32 0.17x = 0.32 Divide each side by '0.17'. x = 1.882352941 Simplifying x = 1.882352941
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