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Simplifying 0.27x + 8.3 = 2.7x + 1.01 Reorder the terms: 8.3 + 0.27x = 2.7x + 1.01 Reorder the terms: 8.3 + 0.27x = 1.01 + 2.7x Solving 8.3 + 0.27x = 1.01 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 8.3 + 0.27x + -2.7x = 1.01 + 2.7x + -2.7x Combine like terms: 0.27x + -2.7x = -2.43x 8.3 + -2.43x = 1.01 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 8.3 + -2.43x = 1.01 + 0.0 8.3 + -2.43x = 1.01 Add '-8.3' to each side of the equation. 8.3 + -8.3 + -2.43x = 1.01 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + -2.43x = 1.01 + -8.3 -2.43x = 1.01 + -8.3 Combine like terms: 1.01 + -8.3 = -7.29 -2.43x = -7.29 Divide each side by '-2.43'. x = 3 Simplifying x = 3
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