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Simplifying 1.5x + -6.2 = x + 7.8 Reorder the terms: -6.2 + 1.5x = x + 7.8 Reorder the terms: -6.2 + 1.5x = 7.8 + x Solving -6.2 + 1.5x = 7.8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6.2 + 1.5x + -1x = 7.8 + x + -1x Combine like terms: 1.5x + -1x = 0.5x -6.2 + 0.5x = 7.8 + x + -1x Combine like terms: x + -1x = 0 -6.2 + 0.5x = 7.8 + 0 -6.2 + 0.5x = 7.8 Add '6.2' to each side of the equation. -6.2 + 6.2 + 0.5x = 7.8 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 0.5x = 7.8 + 6.2 0.5x = 7.8 + 6.2 Combine like terms: 7.8 + 6.2 = 14 0.5x = 14 Divide each side by '0.5'. x = 28 Simplifying x = 28
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