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Simplifying 8x + -12 = 6x + 46 Reorder the terms: -12 + 8x = 6x + 46 Reorder the terms: -12 + 8x = 46 + 6x Solving -12 + 8x = 46 + 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. -12 + 8x + -6x = 46 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 46 + 0 -12 + 2x = 46 Add '12' to each side of the equation. -12 + 12 + 2x = 46 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 46 + 12 2x = 46 + 12 Combine like terms: 46 + 12 = 58 2x = 58 Divide each side by '2'. x = 29 Simplifying x = 29
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