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Simplifying 6 + -21 = 7x + -8 + -6x Combine like terms: 6 + -21 = -15 -15 = 7x + -8 + -6x Reorder the terms: -15 = -8 + 7x + -6x Combine like terms: 7x + -6x = 1x -15 = -8 + 1x Solving -15 = -8 + 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 = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + -1x = -8 + 0 -15 + -1x = -8 Add '15' to each side of the equation. -15 + 15 + -1x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -8 + 15 -1x = -8 + 15 Combine like terms: -8 + 15 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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