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Simplifying 3(7x + 2) = 6(5x + -3) Reorder the terms: 3(2 + 7x) = 6(5x + -3) (2 * 3 + 7x * 3) = 6(5x + -3) (6 + 21x) = 6(5x + -3) Reorder the terms: 6 + 21x = 6(-3 + 5x) 6 + 21x = (-3 * 6 + 5x * 6) 6 + 21x = (-18 + 30x) Solving 6 + 21x = -18 + 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. 6 + 21x + -30x = -18 + 30x + -30x Combine like terms: 21x + -30x = -9x 6 + -9x = -18 + 30x + -30x Combine like terms: 30x + -30x = 0 6 + -9x = -18 + 0 6 + -9x = -18 Add '-6' to each side of the equation. 6 + -6 + -9x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -18 + -6 -9x = -18 + -6 Combine like terms: -18 + -6 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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