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Simplifying -0.2x + 9.53 = -0.7x + 8.53 Reorder the terms: 9.53 + -0.2x = -0.7x + 8.53 Reorder the terms: 9.53 + -0.2x = 8.53 + -0.7x Solving 9.53 + -0.2x = 8.53 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 9.53 + -0.2x + 0.7x = 8.53 + -0.7x + 0.7x Combine like terms: -0.2x + 0.7x = 0.5x 9.53 + 0.5x = 8.53 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 9.53 + 0.5x = 8.53 + 0.0 9.53 + 0.5x = 8.53 Add '-9.53' to each side of the equation. 9.53 + -9.53 + 0.5x = 8.53 + -9.53 Combine like terms: 9.53 + -9.53 = 0.00 0.00 + 0.5x = 8.53 + -9.53 0.5x = 8.53 + -9.53 Combine like terms: 8.53 + -9.53 = -1 0.5x = -1 Divide each side by '0.5'. x = -2 Simplifying x = -2
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