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Simplifying 8 + -1(x + 1) = -20(4 + -1x) Reorder the terms: 8 + -1(1 + x) = -20(4 + -1x) 8 + (1 * -1 + x * -1) = -20(4 + -1x) 8 + (-1 + -1x) = -20(4 + -1x) Combine like terms: 8 + -1 = 7 7 + -1x = -20(4 + -1x) 7 + -1x = (4 * -20 + -1x * -20) 7 + -1x = (-80 + 20x) Solving 7 + -1x = -80 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 7 + -1x + -20x = -80 + 20x + -20x Combine like terms: -1x + -20x = -21x 7 + -21x = -80 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + -21x = -80 + 0 7 + -21x = -80 Add '-7' to each side of the equation. 7 + -7 + -21x = -80 + -7 Combine like terms: 7 + -7 = 0 0 + -21x = -80 + -7 -21x = -80 + -7 Combine like terms: -80 + -7 = -87 -21x = -87 Divide each side by '-21'. x = 4.142857143 Simplifying x = 4.142857143
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