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Simplifying 12.86 + 0.09x = 13.61 + -0.08x Solving 12.86 + 0.09x = 13.61 + -0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08x' to each side of the equation. 12.86 + 0.09x + 0.08x = 13.61 + -0.08x + 0.08x Combine like terms: 0.09x + 0.08x = 0.17x 12.86 + 0.17x = 13.61 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 12.86 + 0.17x = 13.61 + 0.00 12.86 + 0.17x = 13.61 Add '-12.86' to each side of the equation. 12.86 + -12.86 + 0.17x = 13.61 + -12.86 Combine like terms: 12.86 + -12.86 = 0.00 0.00 + 0.17x = 13.61 + -12.86 0.17x = 13.61 + -12.86 Combine like terms: 13.61 + -12.86 = 0.75 0.17x = 0.75 Divide each side by '0.17'. x = 4.411764706 Simplifying x = 4.411764706
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