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Simplifying 7x + 11 + 5x = 8x + -21 Reorder the terms: 11 + 7x + 5x = 8x + -21 Combine like terms: 7x + 5x = 12x 11 + 12x = 8x + -21 Reorder the terms: 11 + 12x = -21 + 8x Solving 11 + 12x = -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. 11 + 12x + -8x = -21 + 8x + -8x Combine like terms: 12x + -8x = 4x 11 + 4x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 4x = -21 + 0 11 + 4x = -21 Add '-11' to each side of the equation. 11 + -11 + 4x = -21 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = -21 + -11 4x = -21 + -11 Combine like terms: -21 + -11 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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