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Simplifying -5x + 7 = -7x + 51 Reorder the terms: 7 + -5x = -7x + 51 Reorder the terms: 7 + -5x = 51 + -7x Solving 7 + -5x = 51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + -5x + 7x = 51 + -7x + 7x Combine like terms: -5x + 7x = 2x 7 + 2x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 2x = 51 + 0 7 + 2x = 51 Add '-7' to each side of the equation. 7 + -7 + 2x = 51 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 51 + -7 2x = 51 + -7 Combine like terms: 51 + -7 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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