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Simplifying -71 = x + 4(5x + -2) Reorder the terms: -71 = x + 4(-2 + 5x) -71 = x + (-2 * 4 + 5x * 4) -71 = x + (-8 + 20x) Reorder the terms: -71 = -8 + x + 20x Combine like terms: x + 20x = 21x -71 = -8 + 21x Solving -71 = -8 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -71 + -21x = -8 + 21x + -21x Combine like terms: 21x + -21x = 0 -71 + -21x = -8 + 0 -71 + -21x = -8 Add '71' to each side of the equation. -71 + 71 + -21x = -8 + 71 Combine like terms: -71 + 71 = 0 0 + -21x = -8 + 71 -21x = -8 + 71 Combine like terms: -8 + 71 = 63 -21x = 63 Divide each side by '-21'. x = -3 Simplifying x = -3
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