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Simplifying x + -21 = 8x + -7 Reorder the terms: -21 + x = 8x + -7 Reorder the terms: -21 + x = -7 + 8x Solving -21 + x = -7 + 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. -21 + x + -8x = -7 + 8x + -8x Combine like terms: x + -8x = -7x -21 + -7x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -7x = -7 + 0 -21 + -7x = -7 Add '21' to each side of the equation. -21 + 21 + -7x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = -7 + 21 -7x = -7 + 21 Combine like terms: -7 + 21 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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