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Simplifying 19x + 71 = 12x + 43 Reorder the terms: 71 + 19x = 12x + 43 Reorder the terms: 71 + 19x = 43 + 12x Solving 71 + 19x = 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. 71 + 19x + -12x = 43 + 12x + -12x Combine like terms: 19x + -12x = 7x 71 + 7x = 43 + 12x + -12x Combine like terms: 12x + -12x = 0 71 + 7x = 43 + 0 71 + 7x = 43 Add '-71' to each side of the equation. 71 + -71 + 7x = 43 + -71 Combine like terms: 71 + -71 = 0 0 + 7x = 43 + -71 7x = 43 + -71 Combine like terms: 43 + -71 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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