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Simplifying 8(1 + -3x) = 7(3x + -1) (1 * 8 + -3x * 8) = 7(3x + -1) (8 + -24x) = 7(3x + -1) Reorder the terms: 8 + -24x = 7(-1 + 3x) 8 + -24x = (-1 * 7 + 3x * 7) 8 + -24x = (-7 + 21x) Solving 8 + -24x = -7 + 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. 8 + -24x + -21x = -7 + 21x + -21x Combine like terms: -24x + -21x = -45x 8 + -45x = -7 + 21x + -21x Combine like terms: 21x + -21x = 0 8 + -45x = -7 + 0 8 + -45x = -7 Add '-8' to each side of the equation. 8 + -8 + -45x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -45x = -7 + -8 -45x = -7 + -8 Combine like terms: -7 + -8 = -15 -45x = -15 Divide each side by '-45'. x = 0.3333333333 Simplifying x = 0.3333333333
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