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Simplifying 4x + 11 = 12x + 43 Reorder the terms: 11 + 4x = 12x + 43 Reorder the terms: 11 + 4x = 43 + 12x Solving 11 + 4x = 43 + 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. 11 + 4x + -12x = 43 + 12x + -12x Combine like terms: 4x + -12x = -8x 11 + -8x = 43 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -8x = 43 + 0 11 + -8x = 43 Add '-11' to each side of the equation. 11 + -11 + -8x = 43 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 43 + -11 -8x = 43 + -11 Combine like terms: 43 + -11 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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