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Simplifying 3(x + -6) = x + 22 Reorder the terms: 3(-6 + x) = x + 22 (-6 * 3 + x * 3) = x + 22 (-18 + 3x) = x + 22 Reorder the terms: -18 + 3x = 22 + x Solving -18 + 3x = 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 + 3x + -1x = 22 + x + -1x Combine like terms: 3x + -1x = 2x -18 + 2x = 22 + x + -1x Combine like terms: x + -1x = 0 -18 + 2x = 22 + 0 -18 + 2x = 22 Add '18' to each side of the equation. -18 + 18 + 2x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 22 + 18 2x = 22 + 18 Combine like terms: 22 + 18 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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