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Simplifying -7x + 1 = x + 7 Reorder the terms: 1 + -7x = x + 7 Reorder the terms: 1 + -7x = 7 + x Solving 1 + -7x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -7x + -1x = 7 + x + -1x Combine like terms: -7x + -1x = -8x 1 + -8x = 7 + x + -1x Combine like terms: x + -1x = 0 1 + -8x = 7 + 0 1 + -8x = 7 Add '-1' to each side of the equation. 1 + -1 + -8x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 7 + -1 -8x = 7 + -1 Combine like terms: 7 + -1 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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