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Simplifying 4(1 + -4x) + 7(1 + 4x) = 71 (1 * 4 + -4x * 4) + 7(1 + 4x) = 71 (4 + -16x) + 7(1 + 4x) = 71 4 + -16x + (1 * 7 + 4x * 7) = 71 4 + -16x + (7 + 28x) = 71 Reorder the terms: 4 + 7 + -16x + 28x = 71 Combine like terms: 4 + 7 = 11 11 + -16x + 28x = 71 Combine like terms: -16x + 28x = 12x 11 + 12x = 71 Solving 11 + 12x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12x = 71 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 71 + -11 12x = 71 + -11 Combine like terms: 71 + -11 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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