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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 = -1x 7 + -1x = -20 + -20x + 20x Combine like terms: -20x + 20x = 0 7 + -1x = -20 + 0 7 + -1x = -20 Add '-7' to each side of the equation. 7 + -7 + -1x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -20 + -7 -1x = -20 + -7 Combine like terms: -20 + -7 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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