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Simplifying -3x + 10 = 2x + 9 Reorder the terms: 10 + -3x = 2x + 9 Reorder the terms: 10 + -3x = 9 + 2x Solving 10 + -3x = 9 + 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 + -3x + -2x = 9 + 2x + -2x Combine like terms: -3x + -2x = -5x 10 + -5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -5x = 9 + 0 10 + -5x = 9 Add '-10' to each side of the equation. 10 + -10 + -5x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 9 + -10 -5x = 9 + -10 Combine like terms: 9 + -10 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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