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Simplifying -0.6x + 7.85 = -0.4x + 9.45 Reorder the terms: 7.85 + -0.6x = -0.4x + 9.45 Reorder the terms: 7.85 + -0.6x = 9.45 + -0.4x Solving 7.85 + -0.6x = 9.45 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 7.85 + -0.6x + 0.4x = 9.45 + -0.4x + 0.4x Combine like terms: -0.6x + 0.4x = -0.2x 7.85 + -0.2x = 9.45 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 7.85 + -0.2x = 9.45 + 0.0 7.85 + -0.2x = 9.45 Add '-7.85' to each side of the equation. 7.85 + -7.85 + -0.2x = 9.45 + -7.85 Combine like terms: 7.85 + -7.85 = 0.00 0.00 + -0.2x = 9.45 + -7.85 -0.2x = 9.45 + -7.85 Combine like terms: 9.45 + -7.85 = 1.6 -0.2x = 1.6 Divide each side by '-0.2'. x = -8 Simplifying x = -8
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