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Simplifying 12 + 21x + -4x = x + -34 + 7x Combine like terms: 21x + -4x = 17x 12 + 17x = x + -34 + 7x Reorder the terms: 12 + 17x = -34 + x + 7x Combine like terms: x + 7x = 8x 12 + 17x = -34 + 8x Solving 12 + 17x = -34 + 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. 12 + 17x + -8x = -34 + 8x + -8x Combine like terms: 17x + -8x = 9x 12 + 9x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 9x = -34 + 0 12 + 9x = -34 Add '-12' to each side of the equation. 12 + -12 + 9x = -34 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -34 + -12 9x = -34 + -12 Combine like terms: -34 + -12 = -46 9x = -46 Divide each side by '9'. x = -5.111111111 Simplifying x = -5.111111111
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