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Simplifying 10 + 2x = 50 + -3x Solving 10 + 2x = 50 + -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 = 50 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 50 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = 50 + 0 10 + 5x = 50 Add '-10' to each side of the equation. 10 + -10 + 5x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 50 + -10 5x = 50 + -10 Combine like terms: 50 + -10 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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