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Simplifying 3x + 8(3x + -4) = 22 Reorder the terms: 3x + 8(-4 + 3x) = 22 3x + (-4 * 8 + 3x * 8) = 22 3x + (-32 + 24x) = 22 Reorder the terms: -32 + 3x + 24x = 22 Combine like terms: 3x + 24x = 27x -32 + 27x = 22 Solving -32 + 27x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 27x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 27x = 22 + 32 27x = 22 + 32 Combine like terms: 22 + 32 = 54 27x = 54 Divide each side by '27'. x = 2 Simplifying x = 2
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