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Simplifying 4.56x + -4.79 = 13.57 + -6.84x Reorder the terms: -4.79 + 4.56x = 13.57 + -6.84x Solving -4.79 + 4.56x = 13.57 + -6.84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.84x' to each side of the equation. -4.79 + 4.56x + 6.84x = 13.57 + -6.84x + 6.84x Combine like terms: 4.56x + 6.84x = 11.4x -4.79 + 11.4x = 13.57 + -6.84x + 6.84x Combine like terms: -6.84x + 6.84x = 0.00 -4.79 + 11.4x = 13.57 + 0.00 -4.79 + 11.4x = 13.57 Add '4.79' to each side of the equation. -4.79 + 4.79 + 11.4x = 13.57 + 4.79 Combine like terms: -4.79 + 4.79 = 0.00 0.00 + 11.4x = 13.57 + 4.79 11.4x = 13.57 + 4.79 Combine like terms: 13.57 + 4.79 = 18.36 11.4x = 18.36 Divide each side by '11.4'. x = 1.610526316 Simplifying x = 1.610526316
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