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Simplifying 13.27 + 0.06x + 0.18 = 14.02 + -0.13x Reorder the terms: 13.27 + 0.18 + 0.06x = 14.02 + -0.13x Combine like terms: 13.27 + 0.18 = 13.45 13.45 + 0.06x = 14.02 + -0.13x Solving 13.45 + 0.06x = 14.02 + -0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.13x' to each side of the equation. 13.45 + 0.06x + 0.13x = 14.02 + -0.13x + 0.13x Combine like terms: 0.06x + 0.13x = 0.19x 13.45 + 0.19x = 14.02 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 13.45 + 0.19x = 14.02 + 0.00 13.45 + 0.19x = 14.02 Add '-13.45' to each side of the equation. 13.45 + -13.45 + 0.19x = 14.02 + -13.45 Combine like terms: 13.45 + -13.45 = 0.00 0.00 + 0.19x = 14.02 + -13.45 0.19x = 14.02 + -13.45 Combine like terms: 14.02 + -13.45 = 0.57 0.19x = 0.57 Divide each side by '0.19'. x = 3 Simplifying x = 3
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