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Simplifying 5 + 12x + -4 = 7x + 43 + -2x Reorder the terms: 5 + -4 + 12x = 7x + 43 + -2x Combine like terms: 5 + -4 = 1 1 + 12x = 7x + 43 + -2x Reorder the terms: 1 + 12x = 43 + 7x + -2x Combine like terms: 7x + -2x = 5x 1 + 12x = 43 + 5x Solving 1 + 12x = 43 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 12x + -5x = 43 + 5x + -5x Combine like terms: 12x + -5x = 7x 1 + 7x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 7x = 43 + 0 1 + 7x = 43 Add '-1' to each side of the equation. 1 + -1 + 7x = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 43 + -1 7x = 43 + -1 Combine like terms: 43 + -1 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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