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Simplifying x + -12 + 2x + -34 = 6x + 23 Reorder the terms: -12 + -34 + x + 2x = 6x + 23 Combine like terms: -12 + -34 = -46 -46 + x + 2x = 6x + 23 Combine like terms: x + 2x = 3x -46 + 3x = 6x + 23 Reorder the terms: -46 + 3x = 23 + 6x Solving -46 + 3x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + 3x + -6x = 23 + 6x + -6x Combine like terms: 3x + -6x = -3x -46 + -3x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + -3x = 23 + 0 -46 + -3x = 23 Add '46' to each side of the equation. -46 + 46 + -3x = 23 + 46 Combine like terms: -46 + 46 = 0 0 + -3x = 23 + 46 -3x = 23 + 46 Combine like terms: 23 + 46 = 69 -3x = 69 Divide each side by '-3'. x = -23 Simplifying x = -23
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