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Simplifying 71 = 7(1 + -4x) + 5(8x + 8) 71 = (1 * 7 + -4x * 7) + 5(8x + 8) 71 = (7 + -28x) + 5(8x + 8) Reorder the terms: 71 = 7 + -28x + 5(8 + 8x) 71 = 7 + -28x + (8 * 5 + 8x * 5) 71 = 7 + -28x + (40 + 40x) Reorder the terms: 71 = 7 + 40 + -28x + 40x Combine like terms: 7 + 40 = 47 71 = 47 + -28x + 40x Combine like terms: -28x + 40x = 12x 71 = 47 + 12x Solving 71 = 47 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 71 + -12x = 47 + 12x + -12x Combine like terms: 12x + -12x = 0 71 + -12x = 47 + 0 71 + -12x = 47 Add '-71' to each side of the equation. 71 + -71 + -12x = 47 + -71 Combine like terms: 71 + -71 = 0 0 + -12x = 47 + -71 -12x = 47 + -71 Combine like terms: 47 + -71 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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