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Simplifying 0.08x + 15.78 = -0.13x + 16.53 Reorder the terms: 15.78 + 0.08x = -0.13x + 16.53 Reorder the terms: 15.78 + 0.08x = 16.53 + -0.13x Solving 15.78 + 0.08x = 16.53 + -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. 15.78 + 0.08x + 0.13x = 16.53 + -0.13x + 0.13x Combine like terms: 0.08x + 0.13x = 0.21x 15.78 + 0.21x = 16.53 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 15.78 + 0.21x = 16.53 + 0.00 15.78 + 0.21x = 16.53 Add '-15.78' to each side of the equation. 15.78 + -15.78 + 0.21x = 16.53 + -15.78 Combine like terms: 15.78 + -15.78 = 0.00 0.00 + 0.21x = 16.53 + -15.78 0.21x = 16.53 + -15.78 Combine like terms: 16.53 + -15.78 = 0.75 0.21x = 0.75 Divide each side by '0.21'. x = 3.571428571 Simplifying x = 3.571428571
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