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Simplifying 7(-3x + 1) = 20(x + 1) Reorder the terms: 7(1 + -3x) = 20(x + 1) (1 * 7 + -3x * 7) = 20(x + 1) (7 + -21x) = 20(x + 1) Reorder the terms: 7 + -21x = 20(1 + x) 7 + -21x = (1 * 20 + x * 20) 7 + -21x = (20 + 20x) Solving 7 + -21x = 20 + 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 + -21x + -20x = 20 + 20x + -20x Combine like terms: -21x + -20x = -41x 7 + -41x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + -41x = 20 + 0 7 + -41x = 20 Add '-7' to each side of the equation. 7 + -7 + -41x = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -41x = 20 + -7 -41x = 20 + -7 Combine like terms: 20 + -7 = 13 -41x = 13 Divide each side by '-41'. x = -0.3170731707 Simplifying x = -0.3170731707
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