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Simplifying 7(3x + -5) = 5(x + 2) + 12 Reorder the terms: 7(-5 + 3x) = 5(x + 2) + 12 (-5 * 7 + 3x * 7) = 5(x + 2) + 12 (-35 + 21x) = 5(x + 2) + 12 Reorder the terms: -35 + 21x = 5(2 + x) + 12 -35 + 21x = (2 * 5 + x * 5) + 12 -35 + 21x = (10 + 5x) + 12 Reorder the terms: -35 + 21x = 10 + 12 + 5x Combine like terms: 10 + 12 = 22 -35 + 21x = 22 + 5x Solving -35 + 21x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 21x + -5x = 22 + 5x + -5x Combine like terms: 21x + -5x = 16x -35 + 16x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 16x = 22 + 0 -35 + 16x = 22 Add '35' to each side of the equation. -35 + 35 + 16x = 22 + 35 Combine like terms: -35 + 35 = 0 0 + 16x = 22 + 35 16x = 22 + 35 Combine like terms: 22 + 35 = 57 16x = 57 Divide each side by '16'. x = 3.5625 Simplifying x = 3.5625
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