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Simplifying 71 + 5(x + 7) = x Reorder the terms: 71 + 5(7 + x) = x 71 + (7 * 5 + x * 5) = x 71 + (35 + 5x) = x Combine like terms: 71 + 35 = 106 106 + 5x = x Solving 106 + 5x = 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. 106 + 5x + -1x = x + -1x Combine like terms: 5x + -1x = 4x 106 + 4x = x + -1x Combine like terms: x + -1x = 0 106 + 4x = 0 Add '-106' to each side of the equation. 106 + -106 + 4x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 4x = 0 + -106 4x = 0 + -106 Combine like terms: 0 + -106 = -106 4x = -106 Divide each side by '4'. x = -26.5 Simplifying x = -26.5
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