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