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Simplifying -0.3x + 9.58 = -0.5x + 7.58 Reorder the terms: 9.58 + -0.3x = -0.5x + 7.58 Reorder the terms: 9.58 + -0.3x = 7.58 + -0.5x Solving 9.58 + -0.3x = 7.58 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 9.58 + -0.3x + 0.5x = 7.58 + -0.5x + 0.5x Combine like terms: -0.3x + 0.5x = 0.2x 9.58 + 0.2x = 7.58 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 9.58 + 0.2x = 7.58 + 0.0 9.58 + 0.2x = 7.58 Add '-9.58' to each side of the equation. 9.58 + -9.58 + 0.2x = 7.58 + -9.58 Combine like terms: 9.58 + -9.58 = 0.00 0.00 + 0.2x = 7.58 + -9.58 0.2x = 7.58 + -9.58 Combine like terms: 7.58 + -9.58 = -2 0.2x = -2 Divide each side by '0.2'. x = -10 Simplifying x = -10
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