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Simplifying 7(3x + -5) = 3(x + 4) + 2 Reorder the terms: 7(-5 + 3x) = 3(x + 4) + 2 (-5 * 7 + 3x * 7) = 3(x + 4) + 2 (-35 + 21x) = 3(x + 4) + 2 Reorder the terms: -35 + 21x = 3(4 + x) + 2 -35 + 21x = (4 * 3 + x * 3) + 2 -35 + 21x = (12 + 3x) + 2 Reorder the terms: -35 + 21x = 12 + 2 + 3x Combine like terms: 12 + 2 = 14 -35 + 21x = 14 + 3x Solving -35 + 21x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 21x + -3x = 14 + 3x + -3x Combine like terms: 21x + -3x = 18x -35 + 18x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 18x = 14 + 0 -35 + 18x = 14 Add '35' to each side of the equation. -35 + 35 + 18x = 14 + 35 Combine like terms: -35 + 35 = 0 0 + 18x = 14 + 35 18x = 14 + 35 Combine like terms: 14 + 35 = 49 18x = 49 Divide each side by '18'. x = 2.722222222 Simplifying x = 2.722222222
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