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Simplifying x + -101 = -1x + -7 Reorder the terms: -101 + x = -1x + -7 Reorder the terms: -101 + x = -7 + -1x Solving -101 + x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -101 + x + x = -7 + -1x + x Combine like terms: x + x = 2x -101 + 2x = -7 + -1x + x Combine like terms: -1x + x = 0 -101 + 2x = -7 + 0 -101 + 2x = -7 Add '101' to each side of the equation. -101 + 101 + 2x = -7 + 101 Combine like terms: -101 + 101 = 0 0 + 2x = -7 + 101 2x = -7 + 101 Combine like terms: -7 + 101 = 94 2x = 94 Divide each side by '2'. x = 47 Simplifying x = 47
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