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Simplifying 3(x + -6) + (4x + 12) + -6x = 0 Reorder the terms: 3(-6 + x) + (4x + 12) + -6x = 0 (-6 * 3 + x * 3) + (4x + 12) + -6x = 0 (-18 + 3x) + (4x + 12) + -6x = 0 Reorder the terms: -18 + 3x + (12 + 4x) + -6x = 0 Remove parenthesis around (12 + 4x) -18 + 3x + 12 + 4x + -6x = 0 Reorder the terms: -18 + 12 + 3x + 4x + -6x = 0 Combine like terms: -18 + 12 = -6 -6 + 3x + 4x + -6x = 0 Combine like terms: 3x + 4x = 7x -6 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x -6 + 1x = 0 Solving -6 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 0 + 6 1x = 0 + 6 Combine like terms: 0 + 6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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