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Simplifying -7x + 50 = -2x + 15 Reorder the terms: 50 + -7x = -2x + 15 Reorder the terms: 50 + -7x = 15 + -2x Solving 50 + -7x = 15 + -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 + -7x + 2x = 15 + -2x + 2x Combine like terms: -7x + 2x = -5x 50 + -5x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 50 + -5x = 15 + 0 50 + -5x = 15 Add '-50' to each side of the equation. 50 + -50 + -5x = 15 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = 15 + -50 -5x = 15 + -50 Combine like terms: 15 + -50 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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