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Simplifying 7x + -1 = 8x + -21 Reorder the terms: -1 + 7x = 8x + -21 Reorder the terms: -1 + 7x = -21 + 8x Solving -1 + 7x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 7x + -8x = -21 + 8x + -8x Combine like terms: 7x + -8x = -1x -1 + -1x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -1x = -21 + 0 -1 + -1x = -21 Add '1' to each side of the equation. -1 + 1 + -1x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -21 + 1 -1x = -21 + 1 Combine like terms: -21 + 1 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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