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Simplifying -6x + -71 = -12x + 43 Reorder the terms: -71 + -6x = -12x + 43 Reorder the terms: -71 + -6x = 43 + -12x Solving -71 + -6x = 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 + -6x + 12x = 43 + -12x + 12x Combine like terms: -6x + 12x = 6x -71 + 6x = 43 + -12x + 12x Combine like terms: -12x + 12x = 0 -71 + 6x = 43 + 0 -71 + 6x = 43 Add '71' to each side of the equation. -71 + 71 + 6x = 43 + 71 Combine like terms: -71 + 71 = 0 0 + 6x = 43 + 71 6x = 43 + 71 Combine like terms: 43 + 71 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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