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Simplifying (-9x) + -21 = 35 + -1x Reorder the terms: -21 + (-9x) = 35 + -1x Solving -21 + (-9x) = 35 + -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. -21 + (-9x) + x = 35 + -1x + x Combine like terms: (-9x) + x = -8x -21 + -8x = 35 + -1x + x Combine like terms: -1x + x = 0 -21 + -8x = 35 + 0 -21 + -8x = 35 Add '21' to each side of the equation. -21 + 21 + -8x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 35 + 21 -8x = 35 + 21 Combine like terms: 35 + 21 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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