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Simplifying -0.9x + 9.65 = -0.4x + 8.65 Reorder the terms: 9.65 + -0.9x = -0.4x + 8.65 Reorder the terms: 9.65 + -0.9x = 8.65 + -0.4x Solving 9.65 + -0.9x = 8.65 + -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. 9.65 + -0.9x + 0.4x = 8.65 + -0.4x + 0.4x Combine like terms: -0.9x + 0.4x = -0.5x 9.65 + -0.5x = 8.65 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 9.65 + -0.5x = 8.65 + 0.0 9.65 + -0.5x = 8.65 Add '-9.65' to each side of the equation. 9.65 + -9.65 + -0.5x = 8.65 + -9.65 Combine like terms: 9.65 + -9.65 = 0.00 0.00 + -0.5x = 8.65 + -9.65 -0.5x = 8.65 + -9.65 Combine like terms: 8.65 + -9.65 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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