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Simplifying 6.2x + -1 = 5.2x + 6 Reorder the terms: -1 + 6.2x = 5.2x + 6 Reorder the terms: -1 + 6.2x = 6 + 5.2x Solving -1 + 6.2x = 6 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. -1 + 6.2x + -5.2x = 6 + 5.2x + -5.2x Combine like terms: 6.2x + -5.2x = 1x -1 + 1x = 6 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 -1 + 1x = 6 + 0.0 -1 + 1x = 6 Add '1' to each side of the equation. -1 + 1 + 1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 6 + 1 1x = 6 + 1 Combine like terms: 6 + 1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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