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Simplifying -34 + 8x = 74 + -1x Solving -34 + 8x = 74 + -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. -34 + 8x + x = 74 + -1x + x Combine like terms: 8x + x = 9x -34 + 9x = 74 + -1x + x Combine like terms: -1x + x = 0 -34 + 9x = 74 + 0 -34 + 9x = 74 Add '34' to each side of the equation. -34 + 34 + 9x = 74 + 34 Combine like terms: -34 + 34 = 0 0 + 9x = 74 + 34 9x = 74 + 34 Combine like terms: 74 + 34 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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