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Simplifying 3(2x + -6) = x + 22 Reorder the terms: 3(-6 + 2x) = x + 22 (-6 * 3 + 2x * 3) = x + 22 (-18 + 6x) = x + 22 Reorder the terms: -18 + 6x = 22 + x Solving -18 + 6x = 22 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 6x + -1x = 22 + x + -1x Combine like terms: 6x + -1x = 5x -18 + 5x = 22 + x + -1x Combine like terms: x + -1x = 0 -18 + 5x = 22 + 0 -18 + 5x = 22 Add '18' to each side of the equation. -18 + 18 + 5x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 22 + 18 5x = 22 + 18 Combine like terms: 22 + 18 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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