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Simplifying -564x + 10 = 11.77x + -638.2 Reorder the terms: 10 + -564x = 11.77x + -638.2 Reorder the terms: 10 + -564x = -638.2 + 11.77x Solving 10 + -564x = -638.2 + 11.77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.77x' to each side of the equation. 10 + -564x + -11.77x = -638.2 + 11.77x + -11.77x Combine like terms: -564x + -11.77x = -575.77x 10 + -575.77x = -638.2 + 11.77x + -11.77x Combine like terms: 11.77x + -11.77x = 0.00 10 + -575.77x = -638.2 + 0.00 10 + -575.77x = -638.2 Add '-10' to each side of the equation. 10 + -10 + -575.77x = -638.2 + -10 Combine like terms: 10 + -10 = 0 0 + -575.77x = -638.2 + -10 -575.77x = -638.2 + -10 Combine like terms: -638.2 + -10 = -648.2 -575.77x = -648.2 Divide each side by '-575.77'. x = 1.125796759 Simplifying x = 1.125796759
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