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Simplifying 7x + 5 + -2x + 1 = 4x + 8 Reorder the terms: 5 + 1 + 7x + -2x = 4x + 8 Combine like terms: 5 + 1 = 6 6 + 7x + -2x = 4x + 8 Combine like terms: 7x + -2x = 5x 6 + 5x = 4x + 8 Reorder the terms: 6 + 5x = 8 + 4x Solving 6 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = 8 + 0 6 + 1x = 8 Add '-6' to each side of the equation. 6 + -6 + 1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 8 + -6 1x = 8 + -6 Combine like terms: 8 + -6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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