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Simplifying -1x + -174 = -10x + 78 Reorder the terms: -174 + -1x = -10x + 78 Reorder the terms: -174 + -1x = 78 + -10x Solving -174 + -1x = 78 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -174 + -1x + 10x = 78 + -10x + 10x Combine like terms: -1x + 10x = 9x -174 + 9x = 78 + -10x + 10x Combine like terms: -10x + 10x = 0 -174 + 9x = 78 + 0 -174 + 9x = 78 Add '174' to each side of the equation. -174 + 174 + 9x = 78 + 174 Combine like terms: -174 + 174 = 0 0 + 9x = 78 + 174 9x = 78 + 174 Combine like terms: 78 + 174 = 252 9x = 252 Divide each side by '9'. x = 28 Simplifying x = 28
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