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Simplifying 6 + -21 = 8x + -7 + -7x Combine like terms: 6 + -21 = -15 -15 = 8x + -7 + -7x Reorder the terms: -15 = -7 + 8x + -7x Combine like terms: 8x + -7x = 1x -15 = -7 + 1x Solving -15 = -7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + -1x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + -1x = -7 + 0 -15 + -1x = -7 Add '15' to each side of the equation. -15 + 15 + -1x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -7 + 15 -1x = -7 + 15 Combine like terms: -7 + 15 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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