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Simplifying 1.2x + 4.2 = 0.6x + -1.14x Reorder the terms: 4.2 + 1.2x = 0.6x + -1.14x Combine like terms: 0.6x + -1.14x = -0.54x 4.2 + 1.2x = -0.54x Solving 4.2 + 1.2x = -0.54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.54x' to each side of the equation. 4.2 + 1.2x + 0.54x = -0.54x + 0.54x Combine like terms: 1.2x + 0.54x = 1.74x 4.2 + 1.74x = -0.54x + 0.54x Combine like terms: -0.54x + 0.54x = 0.00 4.2 + 1.74x = 0.00 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 1.74x = 0.00 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 1.74x = 0.00 + -4.2 1.74x = 0.00 + -4.2 Combine like terms: 0.00 + -4.2 = -4.2 1.74x = -4.2 Divide each side by '1.74'. x = -2.413793103 Simplifying x = -2.413793103
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