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