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Simplifying 3(x + -6) + 2(2x + 6) = 22 Reorder the terms: 3(-6 + x) + 2(2x + 6) = 22 (-6 * 3 + x * 3) + 2(2x + 6) = 22 (-18 + 3x) + 2(2x + 6) = 22 Reorder the terms: -18 + 3x + 2(6 + 2x) = 22 -18 + 3x + (6 * 2 + 2x * 2) = 22 -18 + 3x + (12 + 4x) = 22 Reorder the terms: -18 + 12 + 3x + 4x = 22 Combine like terms: -18 + 12 = -6 -6 + 3x + 4x = 22 Combine like terms: 3x + 4x = 7x -6 + 7x = 22 Solving -6 + 7x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 22 + 6 7x = 22 + 6 Combine like terms: 22 + 6 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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