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Simplifying 3x + -1x + 1 = x + -7 Reorder the terms: 1 + 3x + -1x = x + -7 Combine like terms: 3x + -1x = 2x 1 + 2x = x + -7 Reorder the terms: 1 + 2x = -7 + x Solving 1 + 2x = -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 + 2x + -1x = -7 + x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = -7 + x + -1x Combine like terms: x + -1x = 0 1 + 1x = -7 + 0 1 + 1x = -7 Add '-1' to each side of the equation. 1 + -1 + 1x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -7 + -1 1x = -7 + -1 Combine like terms: -7 + -1 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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