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Simplifying 15.83 + 0.09x = 16.58 + -0.07x Solving 15.83 + 0.09x = 16.58 + -0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07x' to each side of the equation. 15.83 + 0.09x + 0.07x = 16.58 + -0.07x + 0.07x Combine like terms: 0.09x + 0.07x = 0.16x 15.83 + 0.16x = 16.58 + -0.07x + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 15.83 + 0.16x = 16.58 + 0.00 15.83 + 0.16x = 16.58 Add '-15.83' to each side of the equation. 15.83 + -15.83 + 0.16x = 16.58 + -15.83 Combine like terms: 15.83 + -15.83 = 0.00 0.00 + 0.16x = 16.58 + -15.83 0.16x = 16.58 + -15.83 Combine like terms: 16.58 + -15.83 = 0.75 0.16x = 0.75 Divide each side by '0.16'. x = 4.6875 Simplifying x = 4.6875
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