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Simplifying 3.6x + 52.8 = 10.0 + -7.1x Reorder the terms: 52.8 + 3.6x = 10.0 + -7.1x Solving 52.8 + 3.6x = 10.0 + -7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.1x' to each side of the equation. 52.8 + 3.6x + 7.1x = 10.0 + -7.1x + 7.1x Combine like terms: 3.6x + 7.1x = 10.7x 52.8 + 10.7x = 10.0 + -7.1x + 7.1x Combine like terms: -7.1x + 7.1x = 0.0 52.8 + 10.7x = 10.0 + 0.0 52.8 + 10.7x = 10.0 Add '-52.8' to each side of the equation. 52.8 + -52.8 + 10.7x = 10.0 + -52.8 Combine like terms: 52.8 + -52.8 = 0.0 0.0 + 10.7x = 10.0 + -52.8 10.7x = 10.0 + -52.8 Combine like terms: 10.0 + -52.8 = -42.8 10.7x = -42.8 Divide each side by '10.7'. x = -4 Simplifying x = -4
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