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Simplifying 5 + 7x + -7 = 4x + 2 + -1x Reorder the terms: 5 + -7 + 7x = 4x + 2 + -1x Combine like terms: 5 + -7 = -2 -2 + 7x = 4x + 2 + -1x Reorder the terms: -2 + 7x = 2 + 4x + -1x Combine like terms: 4x + -1x = 3x -2 + 7x = 2 + 3x Solving -2 + 7x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x -2 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 4x = 2 + 0 -2 + 4x = 2 Add '2' to each side of the equation. -2 + 2 + 4x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 2 + 2 4x = 2 + 2 Combine like terms: 2 + 2 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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