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Simplifying 10x + -171 = 18x + 101 Reorder the terms: -171 + 10x = 18x + 101 Reorder the terms: -171 + 10x = 101 + 18x Solving -171 + 10x = 101 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -171 + 10x + -18x = 101 + 18x + -18x Combine like terms: 10x + -18x = -8x -171 + -8x = 101 + 18x + -18x Combine like terms: 18x + -18x = 0 -171 + -8x = 101 + 0 -171 + -8x = 101 Add '171' to each side of the equation. -171 + 171 + -8x = 101 + 171 Combine like terms: -171 + 171 = 0 0 + -8x = 101 + 171 -8x = 101 + 171 Combine like terms: 101 + 171 = 272 -8x = 272 Divide each side by '-8'. x = -34 Simplifying x = -34
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