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Simplifying (71 + -1x) + -1(5 + x) = x Remove parenthesis around (71 + -1x) 71 + -1x + -1(5 + x) = x 71 + -1x + (5 * -1 + x * -1) = x 71 + -1x + (-5 + -1x) = x Reorder the terms: 71 + -5 + -1x + -1x = x Combine like terms: 71 + -5 = 66 66 + -1x + -1x = x Combine like terms: -1x + -1x = -2x 66 + -2x = x Solving 66 + -2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 66 + -2x + -1x = x + -1x Combine like terms: -2x + -1x = -3x 66 + -3x = x + -1x Combine like terms: x + -1x = 0 66 + -3x = 0 Add '-66' to each side of the equation. 66 + -66 + -3x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -3x = 0 + -66 -3x = 0 + -66 Combine like terms: 0 + -66 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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