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Simplifying 6x + -71 = -1x + 34 Reorder the terms: -71 + 6x = -1x + 34 Reorder the terms: -71 + 6x = 34 + -1x Solving -71 + 6x = 34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -71 + 6x + x = 34 + -1x + x Combine like terms: 6x + x = 7x -71 + 7x = 34 + -1x + x Combine like terms: -1x + x = 0 -71 + 7x = 34 + 0 -71 + 7x = 34 Add '71' to each side of the equation. -71 + 71 + 7x = 34 + 71 Combine like terms: -71 + 71 = 0 0 + 7x = 34 + 71 7x = 34 + 71 Combine like terms: 34 + 71 = 105 7x = 105 Divide each side by '7'. x = 15 Simplifying x = 15
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