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Simplifying -9x + -101 = -1x + 51 Reorder the terms: -101 + -9x = -1x + 51 Reorder the terms: -101 + -9x = 51 + -1x Solving -101 + -9x = 51 + -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 + -9x + x = 51 + -1x + x Combine like terms: -9x + x = -8x -101 + -8x = 51 + -1x + x Combine like terms: -1x + x = 0 -101 + -8x = 51 + 0 -101 + -8x = 51 Add '101' to each side of the equation. -101 + 101 + -8x = 51 + 101 Combine like terms: -101 + 101 = 0 0 + -8x = 51 + 101 -8x = 51 + 101 Combine like terms: 51 + 101 = 152 -8x = 152 Divide each side by '-8'. x = -19 Simplifying x = -19
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