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Simplifying -1x + -171 = -9x + 53 Reorder the terms: -171 + -1x = -9x + 53 Reorder the terms: -171 + -1x = 53 + -9x Solving -171 + -1x = 53 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -171 + -1x + 9x = 53 + -9x + 9x Combine like terms: -1x + 9x = 8x -171 + 8x = 53 + -9x + 9x Combine like terms: -9x + 9x = 0 -171 + 8x = 53 + 0 -171 + 8x = 53 Add '171' to each side of the equation. -171 + 171 + 8x = 53 + 171 Combine like terms: -171 + 171 = 0 0 + 8x = 53 + 171 8x = 53 + 171 Combine like terms: 53 + 171 = 224 8x = 224 Divide each side by '8'. x = 28 Simplifying x = 28
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