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Simplifying 8.5 + 3x + 2 = 9.7 + -2x Reorder the terms: 8.5 + 2 + 3x = 9.7 + -2x Combine like terms: 8.5 + 2 = 10.5 10.5 + 3x = 9.7 + -2x Solving 10.5 + 3x = 9.7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10.5 + 3x + 2x = 9.7 + -2x + 2x Combine like terms: 3x + 2x = 5x 10.5 + 5x = 9.7 + -2x + 2x Combine like terms: -2x + 2x = 0 10.5 + 5x = 9.7 + 0 10.5 + 5x = 9.7 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 5x = 9.7 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 5x = 9.7 + -10.5 5x = 9.7 + -10.5 Combine like terms: 9.7 + -10.5 = -0.8 5x = -0.8 Divide each side by '5'. x = -0.16 Simplifying x = -0.16
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