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Simplifying 7x + -6x + -21 = 15x + 3 + -6x Reorder the terms: -21 + 7x + -6x = 15x + 3 + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = 15x + 3 + -6x Reorder the terms: -21 + 1x = 3 + 15x + -6x Combine like terms: 15x + -6x = 9x -21 + 1x = 3 + 9x Solving -21 + 1x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + 1x + -9x = 3 + 9x + -9x Combine like terms: 1x + -9x = -8x -21 + -8x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -8x = 3 + 0 -21 + -8x = 3 Add '21' to each side of the equation. -21 + 21 + -8x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 3 + 21 -8x = 3 + 21 Combine like terms: 3 + 21 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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