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Simplifying 6(5 + 2x) = 7(3x + -1) (5 * 6 + 2x * 6) = 7(3x + -1) (30 + 12x) = 7(3x + -1) Reorder the terms: 30 + 12x = 7(-1 + 3x) 30 + 12x = (-1 * 7 + 3x * 7) 30 + 12x = (-7 + 21x) Solving 30 + 12x = -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. 30 + 12x + -21x = -7 + 21x + -21x Combine like terms: 12x + -21x = -9x 30 + -9x = -7 + 21x + -21x Combine like terms: 21x + -21x = 0 30 + -9x = -7 + 0 30 + -9x = -7 Add '-30' to each side of the equation. 30 + -30 + -9x = -7 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = -7 + -30 -9x = -7 + -30 Combine like terms: -7 + -30 = -37 -9x = -37 Divide each side by '-9'. x = 4.111111111 Simplifying x = 4.111111111
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