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Simplifying 46 + -1 + 8x = 12x + 2 Combine like terms: 46 + -1 = 45 45 + 8x = 12x + 2 Reorder the terms: 45 + 8x = 2 + 12x Solving 45 + 8x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 8x + -12x = 2 + 12x + -12x Combine like terms: 8x + -12x = -4x 45 + -4x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -4x = 2 + 0 45 + -4x = 2 Add '-45' to each side of the equation. 45 + -45 + -4x = 2 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 2 + -45 -4x = 2 + -45 Combine like terms: 2 + -45 = -43 -4x = -43 Divide each side by '-4'. x = 10.75 Simplifying x = 10.75
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