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Simplifying 71 = -6(2 + -8x) + 5(8x + -1) 71 = (2 * -6 + -8x * -6) + 5(8x + -1) 71 = (-12 + 48x) + 5(8x + -1) Reorder the terms: 71 = -12 + 48x + 5(-1 + 8x) 71 = -12 + 48x + (-1 * 5 + 8x * 5) 71 = -12 + 48x + (-5 + 40x) Reorder the terms: 71 = -12 + -5 + 48x + 40x Combine like terms: -12 + -5 = -17 71 = -17 + 48x + 40x Combine like terms: 48x + 40x = 88x 71 = -17 + 88x Solving 71 = -17 + 88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88x' to each side of the equation. 71 + -88x = -17 + 88x + -88x Combine like terms: 88x + -88x = 0 71 + -88x = -17 + 0 71 + -88x = -17 Add '-71' to each side of the equation. 71 + -71 + -88x = -17 + -71 Combine like terms: 71 + -71 = 0 0 + -88x = -17 + -71 -88x = -17 + -71 Combine like terms: -17 + -71 = -88 -88x = -88 Divide each side by '-88'. x = 1 Simplifying x = 1
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