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Simplifying 2(4x + 10) + -1(x + 7) = 71 Reorder the terms: 2(10 + 4x) + -1(x + 7) = 71 (10 * 2 + 4x * 2) + -1(x + 7) = 71 (20 + 8x) + -1(x + 7) = 71 Reorder the terms: 20 + 8x + -1(7 + x) = 71 20 + 8x + (7 * -1 + x * -1) = 71 20 + 8x + (-7 + -1x) = 71 Reorder the terms: 20 + -7 + 8x + -1x = 71 Combine like terms: 20 + -7 = 13 13 + 8x + -1x = 71 Combine like terms: 8x + -1x = 7x 13 + 7x = 71 Solving 13 + 7x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7x = 71 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 71 + -13 7x = 71 + -13 Combine like terms: 71 + -13 = 58 7x = 58 Divide each side by '7'. x = 8.285714286 Simplifying x = 8.285714286
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