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Simplifying 2.84x + 8.54 = 1.55x + 7.15 Reorder the terms: 8.54 + 2.84x = 1.55x + 7.15 Reorder the terms: 8.54 + 2.84x = 7.15 + 1.55x Solving 8.54 + 2.84x = 7.15 + 1.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.55x' to each side of the equation. 8.54 + 2.84x + -1.55x = 7.15 + 1.55x + -1.55x Combine like terms: 2.84x + -1.55x = 1.29x 8.54 + 1.29x = 7.15 + 1.55x + -1.55x Combine like terms: 1.55x + -1.55x = 0.00 8.54 + 1.29x = 7.15 + 0.00 8.54 + 1.29x = 7.15 Add '-8.54' to each side of the equation. 8.54 + -8.54 + 1.29x = 7.15 + -8.54 Combine like terms: 8.54 + -8.54 = 0.00 0.00 + 1.29x = 7.15 + -8.54 1.29x = 7.15 + -8.54 Combine like terms: 7.15 + -8.54 = -1.39 1.29x = -1.39 Divide each side by '1.29'. x = -1.07751938 Simplifying x = -1.07751938
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