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Simplifying 6(3x + 5) = 7(3x + -2) Reorder the terms: 6(5 + 3x) = 7(3x + -2) (5 * 6 + 3x * 6) = 7(3x + -2) (30 + 18x) = 7(3x + -2) Reorder the terms: 30 + 18x = 7(-2 + 3x) 30 + 18x = (-2 * 7 + 3x * 7) 30 + 18x = (-14 + 21x) Solving 30 + 18x = -14 + 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 + 18x + -21x = -14 + 21x + -21x Combine like terms: 18x + -21x = -3x 30 + -3x = -14 + 21x + -21x Combine like terms: 21x + -21x = 0 30 + -3x = -14 + 0 30 + -3x = -14 Add '-30' to each side of the equation. 30 + -30 + -3x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -14 + -30 -3x = -14 + -30 Combine like terms: -14 + -30 = -44 -3x = -44 Divide each side by '-3'. x = 14.66666667 Simplifying x = 14.66666667
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