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Simplifying 4x + 1 + 2(5 + x) = x + 71 4x + 1 + (5 * 2 + x * 2) = x + 71 4x + 1 + (10 + 2x) = x + 71 Reorder the terms: 1 + 10 + 4x + 2x = x + 71 Combine like terms: 1 + 10 = 11 11 + 4x + 2x = x + 71 Combine like terms: 4x + 2x = 6x 11 + 6x = x + 71 Reorder the terms: 11 + 6x = 71 + x Solving 11 + 6x = 71 + 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. 11 + 6x + -1x = 71 + x + -1x Combine like terms: 6x + -1x = 5x 11 + 5x = 71 + x + -1x Combine like terms: x + -1x = 0 11 + 5x = 71 + 0 11 + 5x = 71 Add '-11' to each side of the equation. 11 + -11 + 5x = 71 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 71 + -11 5x = 71 + -11 Combine like terms: 71 + -11 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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