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Simplifying 5x + 1 = 7x + 5 Reorder the terms: 1 + 5x = 7x + 5 Reorder the terms: 1 + 5x = 5 + 7x Solving 1 + 5x = 5 + 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. 1 + 5x + -7x = 5 + 7x + -7x Combine like terms: 5x + -7x = -2x 1 + -2x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -2x = 5 + 0 1 + -2x = 5 Add '-1' to each side of the equation. 1 + -1 + -2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 5 + -1 -2x = 5 + -1 Combine like terms: 5 + -1 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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