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