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Simplifying 14.92 + 0.12(x + 3) = 15.67 + -0.11x Reorder the terms: 14.92 + 0.12(3 + x) = 15.67 + -0.11x 14.92 + (3 * 0.12 + x * 0.12) = 15.67 + -0.11x 14.92 + (0.36 + 0.12x) = 15.67 + -0.11x Combine like terms: 14.92 + 0.36 = 15.28 15.28 + 0.12x = 15.67 + -0.11x Solving 15.28 + 0.12x = 15.67 + -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. 15.28 + 0.12x + 0.11x = 15.67 + -0.11x + 0.11x Combine like terms: 0.12x + 0.11x = 0.23x 15.28 + 0.23x = 15.67 + -0.11x + 0.11x Combine like terms: -0.11x + 0.11x = 0.00 15.28 + 0.23x = 15.67 + 0.00 15.28 + 0.23x = 15.67 Add '-15.28' to each side of the equation. 15.28 + -15.28 + 0.23x = 15.67 + -15.28 Combine like terms: 15.28 + -15.28 = 0.00 0.00 + 0.23x = 15.67 + -15.28 0.23x = 15.67 + -15.28 Combine like terms: 15.67 + -15.28 = 0.39 0.23x = 0.39 Divide each side by '0.23'. x = 1.695652174 Simplifying x = 1.695652174
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