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Simplifying 3(x + -6) = 22 + -5x Reorder the terms: 3(-6 + x) = 22 + -5x (-6 * 3 + x * 3) = 22 + -5x (-18 + 3x) = 22 + -5x Solving -18 + 3x = 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. -18 + 3x + 5x = 22 + -5x + 5x Combine like terms: 3x + 5x = 8x -18 + 8x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 8x = 22 + 0 -18 + 8x = 22 Add '18' to each side of the equation. -18 + 18 + 8x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 22 + 18 8x = 22 + 18 Combine like terms: 22 + 18 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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