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Simplifying 7(3x + 6) = 6(5x + -1) Reorder the terms: 7(6 + 3x) = 6(5x + -1) (6 * 7 + 3x * 7) = 6(5x + -1) (42 + 21x) = 6(5x + -1) Reorder the terms: 42 + 21x = 6(-1 + 5x) 42 + 21x = (-1 * 6 + 5x * 6) 42 + 21x = (-6 + 30x) Solving 42 + 21x = -6 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 42 + 21x + -30x = -6 + 30x + -30x Combine like terms: 21x + -30x = -9x 42 + -9x = -6 + 30x + -30x Combine like terms: 30x + -30x = 0 42 + -9x = -6 + 0 42 + -9x = -6 Add '-42' to each side of the equation. 42 + -42 + -9x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = -6 + -42 -9x = -6 + -42 Combine like terms: -6 + -42 = -48 -9x = -48 Divide each side by '-9'. x = 5.333333333 Simplifying x = 5.333333333
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