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Simplifying 3(x + -2) + 7(x + 4) = 42 Reorder the terms: 3(-2 + x) + 7(x + 4) = 42 (-2 * 3 + x * 3) + 7(x + 4) = 42 (-6 + 3x) + 7(x + 4) = 42 Reorder the terms: -6 + 3x + 7(4 + x) = 42 -6 + 3x + (4 * 7 + x * 7) = 42 -6 + 3x + (28 + 7x) = 42 Reorder the terms: -6 + 28 + 3x + 7x = 42 Combine like terms: -6 + 28 = 22 22 + 3x + 7x = 42 Combine like terms: 3x + 7x = 10x 22 + 10x = 42 Solving 22 + 10x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 10x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 42 + -22 10x = 42 + -22 Combine like terms: 42 + -22 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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