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Simplifying 3(2x + -6) + 6x = 4x + 6 Reorder the terms: 3(-6 + 2x) + 6x = 4x + 6 (-6 * 3 + 2x * 3) + 6x = 4x + 6 (-18 + 6x) + 6x = 4x + 6 Combine like terms: 6x + 6x = 12x -18 + 12x = 4x + 6 Reorder the terms: -18 + 12x = 6 + 4x Solving -18 + 12x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x -18 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 8x = 6 + 0 -18 + 8x = 6 Add '18' to each side of the equation. -18 + 18 + 8x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 6 + 18 8x = 6 + 18 Combine like terms: 6 + 18 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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