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Simplifying 12 + 8x + 2 = 43 + -3x + 4 Reorder the terms: 12 + 2 + 8x = 43 + -3x + 4 Combine like terms: 12 + 2 = 14 14 + 8x = 43 + -3x + 4 Reorder the terms: 14 + 8x = 43 + 4 + -3x Combine like terms: 43 + 4 = 47 14 + 8x = 47 + -3x Solving 14 + 8x = 47 + -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. 14 + 8x + 3x = 47 + -3x + 3x Combine like terms: 8x + 3x = 11x 14 + 11x = 47 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 11x = 47 + 0 14 + 11x = 47 Add '-14' to each side of the equation. 14 + -14 + 11x = 47 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 47 + -14 11x = 47 + -14 Combine like terms: 47 + -14 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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