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Simplifying -0.7x + 8.23 = -0.2x + 7.23 Reorder the terms: 8.23 + -0.7x = -0.2x + 7.23 Reorder the terms: 8.23 + -0.7x = 7.23 + -0.2x Solving 8.23 + -0.7x = 7.23 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 8.23 + -0.7x + 0.2x = 7.23 + -0.2x + 0.2x Combine like terms: -0.7x + 0.2x = -0.5x 8.23 + -0.5x = 7.23 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 8.23 + -0.5x = 7.23 + 0.0 8.23 + -0.5x = 7.23 Add '-8.23' to each side of the equation. 8.23 + -8.23 + -0.5x = 7.23 + -8.23 Combine like terms: 8.23 + -8.23 = 0.00 0.00 + -0.5x = 7.23 + -8.23 -0.5x = 7.23 + -8.23 Combine like terms: 7.23 + -8.23 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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