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Simplifying 3x + 2 = -5x + 10 Reorder the terms: 2 + 3x = -5x + 10 Reorder the terms: 2 + 3x = 10 + -5x Solving 2 + 3x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 3x + 5x = 10 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = 10 + 0 2 + 8x = 10 Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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