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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 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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