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Simplifying 13.66 + 0.09x = 14.16 + -0.12x Solving 13.66 + 0.09x = 14.16 + -0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.12x' to each side of the equation. 13.66 + 0.09x + 0.12x = 14.16 + -0.12x + 0.12x Combine like terms: 0.09x + 0.12x = 0.21x 13.66 + 0.21x = 14.16 + -0.12x + 0.12x Combine like terms: -0.12x + 0.12x = 0.00 13.66 + 0.21x = 14.16 + 0.00 13.66 + 0.21x = 14.16 Add '-13.66' to each side of the equation. 13.66 + -13.66 + 0.21x = 14.16 + -13.66 Combine like terms: 13.66 + -13.66 = 0.00 0.00 + 0.21x = 14.16 + -13.66 0.21x = 14.16 + -13.66 Combine like terms: 14.16 + -13.66 = 0.5 0.21x = 0.5 Divide each side by '0.21'. x = 2.380952381 Simplifying x = 2.380952381
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