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Simplifying 12x + 4 + -5x + 7 = 6 + -1x + 4 + 17 Reorder the terms: 4 + 7 + 12x + -5x = 6 + -1x + 4 + 17 Combine like terms: 4 + 7 = 11 11 + 12x + -5x = 6 + -1x + 4 + 17 Combine like terms: 12x + -5x = 7x 11 + 7x = 6 + -1x + 4 + 17 Reorder the terms: 11 + 7x = 6 + 4 + 17 + -1x Combine like terms: 6 + 4 = 10 11 + 7x = 10 + 17 + -1x Combine like terms: 10 + 17 = 27 11 + 7x = 27 + -1x Solving 11 + 7x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 11 + 7x + x = 27 + -1x + x Combine like terms: 7x + x = 8x 11 + 8x = 27 + -1x + x Combine like terms: -1x + x = 0 11 + 8x = 27 + 0 11 + 8x = 27 Add '-11' to each side of the equation. 11 + -11 + 8x = 27 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 27 + -11 8x = 27 + -11 Combine like terms: 27 + -11 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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