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Simplifying -84 + -7x = 8x + 21 Reorder the terms: -84 + -7x = 21 + 8x Solving -84 + -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. -84 + -7x + -8x = 21 + 8x + -8x Combine like terms: -7x + -8x = -15x -84 + -15x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -84 + -15x = 21 + 0 -84 + -15x = 21 Add '84' to each side of the equation. -84 + 84 + -15x = 21 + 84 Combine like terms: -84 + 84 = 0 0 + -15x = 21 + 84 -15x = 21 + 84 Combine like terms: 21 + 84 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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