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Simplifying 15.78 + 0.11(x + 3) = 16.28 + -0.12 Reorder the terms: 15.78 + 0.11(3 + x) = 16.28 + -0.12 15.78 + (3 * 0.11 + x * 0.11) = 16.28 + -0.12 15.78 + (0.33 + 0.11x) = 16.28 + -0.12 Combine like terms: 15.78 + 0.33 = 16.11 16.11 + 0.11x = 16.28 + -0.12 Combine like terms: 16.28 + -0.12 = 16.16 16.11 + 0.11x = 16.16 Solving 16.11 + 0.11x = 16.16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16.11' to each side of the equation. 16.11 + -16.11 + 0.11x = 16.16 + -16.11 Combine like terms: 16.11 + -16.11 = 0.00 0.00 + 0.11x = 16.16 + -16.11 0.11x = 16.16 + -16.11 Combine like terms: 16.16 + -16.11 = 0.05 0.11x = 0.05 Divide each side by '0.11'. x = 0.4545454545 Simplifying x = 0.4545454545
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