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Simplifying 7(3x + -2) = 6(2x + -1) + 24 Reorder the terms: 7(-2 + 3x) = 6(2x + -1) + 24 (-2 * 7 + 3x * 7) = 6(2x + -1) + 24 (-14 + 21x) = 6(2x + -1) + 24 Reorder the terms: -14 + 21x = 6(-1 + 2x) + 24 -14 + 21x = (-1 * 6 + 2x * 6) + 24 -14 + 21x = (-6 + 12x) + 24 Reorder the terms: -14 + 21x = -6 + 24 + 12x Combine like terms: -6 + 24 = 18 -14 + 21x = 18 + 12x Solving -14 + 21x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 21x + -12x = 18 + 12x + -12x Combine like terms: 21x + -12x = 9x -14 + 9x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 9x = 18 + 0 -14 + 9x = 18 Add '14' to each side of the equation. -14 + 14 + 9x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 18 + 14 9x = 18 + 14 Combine like terms: 18 + 14 = 32 9x = 32 Divide each side by '9'. x = 3.555555556 Simplifying x = 3.555555556
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