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Simplifying 3(x + -6) + 4x = 6x + 2 Reorder the terms: 3(-6 + x) + 4x = 6x + 2 (-6 * 3 + x * 3) + 4x = 6x + 2 (-18 + 3x) + 4x = 6x + 2 Combine like terms: 3x + 4x = 7x -18 + 7x = 6x + 2 Reorder the terms: -18 + 7x = 2 + 6x Solving -18 + 7x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x -18 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 1x = 2 + 0 -18 + 1x = 2 Add '18' to each side of the equation. -18 + 18 + 1x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = 2 + 18 1x = 2 + 18 Combine like terms: 2 + 18 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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