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Simplifying 71 + -1(5x + 4) = 5(x + 9) + x Reorder the terms: 71 + -1(4 + 5x) = 5(x + 9) + x 71 + (4 * -1 + 5x * -1) = 5(x + 9) + x 71 + (-4 + -5x) = 5(x + 9) + x Combine like terms: 71 + -4 = 67 67 + -5x = 5(x + 9) + x Reorder the terms: 67 + -5x = 5(9 + x) + x 67 + -5x = (9 * 5 + x * 5) + x 67 + -5x = (45 + 5x) + x Combine like terms: 5x + x = 6x 67 + -5x = 45 + 6x Solving 67 + -5x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 67 + -5x + -6x = 45 + 6x + -6x Combine like terms: -5x + -6x = -11x 67 + -11x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 67 + -11x = 45 + 0 67 + -11x = 45 Add '-67' to each side of the equation. 67 + -67 + -11x = 45 + -67 Combine like terms: 67 + -67 = 0 0 + -11x = 45 + -67 -11x = 45 + -67 Combine like terms: 45 + -67 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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