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Simplifying 4x + 7 = 7x + 1 Reorder the terms: 7 + 4x = 7x + 1 Reorder the terms: 7 + 4x = 1 + 7x Solving 7 + 4x = 1 + 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 + 4x + -7x = 1 + 7x + -7x Combine like terms: 4x + -7x = -3x 7 + -3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -3x = 1 + 0 7 + -3x = 1 Add '-7' to each side of the equation. 7 + -7 + -3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 1 + -7 -3x = 1 + -7 Combine like terms: 1 + -7 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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