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