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Simplifying 4.65 + -4.79 = 13.57 + -6.84x Combine like terms: 4.65 + -4.79 = -0.14 -0.14 = 13.57 + -6.84x Solving -0.14 = 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. -0.14 + 6.84x = 13.57 + -6.84x + 6.84x Combine like terms: -6.84x + 6.84x = 0.00 -0.14 + 6.84x = 13.57 + 0.00 -0.14 + 6.84x = 13.57 Add '0.14' to each side of the equation. -0.14 + 0.14 + 6.84x = 13.57 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + 6.84x = 13.57 + 0.14 6.84x = 13.57 + 0.14 Combine like terms: 13.57 + 0.14 = 13.71 6.84x = 13.71 Divide each side by '6.84'. x = 2.004385965 Simplifying x = 2.004385965
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