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Simplifying 2x + 10 = -3x + 10 + 5 Reorder the terms: 10 + 2x = -3x + 10 + 5 Reorder the terms: 10 + 2x = 10 + 5 + -3x Combine like terms: 10 + 5 = 15 10 + 2x = 15 + -3x Solving 10 + 2x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + 2x + 3x = 15 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 15 + 0 10 + 5x = 15 Add '-10' to each side of the equation. 10 + -10 + 5x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 15 + -10 5x = 15 + -10 Combine like terms: 15 + -10 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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