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Simplifying 12x + 4 + -5x + 7 = 6 + -1x + 4x + 17 Reorder the terms: 4 + 7 + 12x + -5x = 6 + -1x + 4x + 17 Combine like terms: 4 + 7 = 11 11 + 12x + -5x = 6 + -1x + 4x + 17 Combine like terms: 12x + -5x = 7x 11 + 7x = 6 + -1x + 4x + 17 Reorder the terms: 11 + 7x = 6 + 17 + -1x + 4x Combine like terms: 6 + 17 = 23 11 + 7x = 23 + -1x + 4x Combine like terms: -1x + 4x = 3x 11 + 7x = 23 + 3x Solving 11 + 7x = 23 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 7x + -3x = 23 + 3x + -3x Combine like terms: 7x + -3x = 4x 11 + 4x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 4x = 23 + 0 11 + 4x = 23 Add '-11' to each side of the equation. 11 + -11 + 4x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 23 + -11 4x = 23 + -11 Combine like terms: 23 + -11 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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