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Simplifying 8x + -71 = 2(2x + 7) + -5 Reorder the terms: -71 + 8x = 2(2x + 7) + -5 Reorder the terms: -71 + 8x = 2(7 + 2x) + -5 -71 + 8x = (7 * 2 + 2x * 2) + -5 -71 + 8x = (14 + 4x) + -5 Reorder the terms: -71 + 8x = 14 + -5 + 4x Combine like terms: 14 + -5 = 9 -71 + 8x = 9 + 4x Solving -71 + 8x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -71 + 8x + -4x = 9 + 4x + -4x Combine like terms: 8x + -4x = 4x -71 + 4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -71 + 4x = 9 + 0 -71 + 4x = 9 Add '71' to each side of the equation. -71 + 71 + 4x = 9 + 71 Combine like terms: -71 + 71 = 0 0 + 4x = 9 + 71 4x = 9 + 71 Combine like terms: 9 + 71 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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