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Simplifying 4x + -1 + 2(5 + -1x) = x + 71 4x + -1 + (5 * 2 + -1x * 2) = x + 71 4x + -1 + (10 + -2x) = x + 71 Reorder the terms: -1 + 10 + 4x + -2x = x + 71 Combine like terms: -1 + 10 = 9 9 + 4x + -2x = x + 71 Combine like terms: 4x + -2x = 2x 9 + 2x = x + 71 Reorder the terms: 9 + 2x = 71 + x Solving 9 + 2x = 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. 9 + 2x + -1x = 71 + x + -1x Combine like terms: 2x + -1x = 1x 9 + 1x = 71 + x + -1x Combine like terms: x + -1x = 0 9 + 1x = 71 + 0 9 + 1x = 71 Add '-9' to each side of the equation. 9 + -9 + 1x = 71 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 71 + -9 1x = 71 + -9 Combine like terms: 71 + -9 = 62 1x = 62 Divide each side by '1'. x = 62 Simplifying x = 62
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