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Simplifying 5.2 + -7x = 4x + -8.5 Reorder the terms: 5.2 + -7x = -8.5 + 4x Solving 5.2 + -7x = -8.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5.2 + -7x + -4x = -8.5 + 4x + -4x Combine like terms: -7x + -4x = -11x 5.2 + -11x = -8.5 + 4x + -4x Combine like terms: 4x + -4x = 0 5.2 + -11x = -8.5 + 0 5.2 + -11x = -8.5 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -11x = -8.5 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -11x = -8.5 + -5.2 -11x = -8.5 + -5.2 Combine like terms: -8.5 + -5.2 = -13.7 -11x = -13.7 Divide each side by '-11'. x = 1.245454545 Simplifying x = 1.245454545
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