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Simplifying 1.2x + 34 = 0.2x + 123 Reorder the terms: 34 + 1.2x = 0.2x + 123 Reorder the terms: 34 + 1.2x = 123 + 0.2x Solving 34 + 1.2x = 123 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 34 + 1.2x + -0.2x = 123 + 0.2x + -0.2x Combine like terms: 1.2x + -0.2x = 1x 34 + 1x = 123 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 34 + 1x = 123 + 0.0 34 + 1x = 123 Add '-34' to each side of the equation. 34 + -34 + 1x = 123 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 123 + -34 1x = 123 + -34 Combine like terms: 123 + -34 = 89 1x = 89 Divide each side by '1'. x = 89 Simplifying x = 89
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