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Simplifying 15.81 + 0.12(x + 3) = 16.31 + -0.09x Reorder the terms: 15.81 + 0.12(3 + x) = 16.31 + -0.09x 15.81 + (3 * 0.12 + x * 0.12) = 16.31 + -0.09x 15.81 + (0.36 + 0.12x) = 16.31 + -0.09x Combine like terms: 15.81 + 0.36 = 16.17 16.17 + 0.12x = 16.31 + -0.09x Solving 16.17 + 0.12x = 16.31 + -0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.09x' to each side of the equation. 16.17 + 0.12x + 0.09x = 16.31 + -0.09x + 0.09x Combine like terms: 0.12x + 0.09x = 0.21x 16.17 + 0.21x = 16.31 + -0.09x + 0.09x Combine like terms: -0.09x + 0.09x = 0.00 16.17 + 0.21x = 16.31 + 0.00 16.17 + 0.21x = 16.31 Add '-16.17' to each side of the equation. 16.17 + -16.17 + 0.21x = 16.31 + -16.17 Combine like terms: 16.17 + -16.17 = 0.00 0.00 + 0.21x = 16.31 + -16.17 0.21x = 16.31 + -16.17 Combine like terms: 16.31 + -16.17 = 0.14 0.21x = 0.14 Divide each side by '0.21'. x = 0.6666666667 Simplifying x = 0.6666666667
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