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Simplifying 171 + -1x = (x + 1) + (x + 2) Reorder the terms: 171 + -1x = (1 + x) + (x + 2) Remove parenthesis around (1 + x) 171 + -1x = 1 + x + (x + 2) Reorder the terms: 171 + -1x = 1 + x + (2 + x) Remove parenthesis around (2 + x) 171 + -1x = 1 + x + 2 + x Reorder the terms: 171 + -1x = 1 + 2 + x + x Combine like terms: 1 + 2 = 3 171 + -1x = 3 + x + x Combine like terms: x + x = 2x 171 + -1x = 3 + 2x Solving 171 + -1x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 171 + -1x + -2x = 3 + 2x + -2x Combine like terms: -1x + -2x = -3x 171 + -3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 171 + -3x = 3 + 0 171 + -3x = 3 Add '-171' to each side of the equation. 171 + -171 + -3x = 3 + -171 Combine like terms: 171 + -171 = 0 0 + -3x = 3 + -171 -3x = 3 + -171 Combine like terms: 3 + -171 = -168 -3x = -168 Divide each side by '-3'. x = 56 Simplifying x = 56
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