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Simplifying 0 = 3(x + -6) + 4x + 12 + -6x Reorder the terms: 0 = 3(-6 + x) + 4x + 12 + -6x 0 = (-6 * 3 + x * 3) + 4x + 12 + -6x 0 = (-18 + 3x) + 4x + 12 + -6x Reorder the terms: 0 = -18 + 12 + 3x + 4x + -6x Combine like terms: -18 + 12 = -6 0 = -6 + 3x + 4x + -6x Combine like terms: 3x + 4x = 7x 0 = -6 + 7x + -6x Combine like terms: 7x + -6x = 1x 0 = -6 + 1x Solving 0 = -6 + 1x 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. 0 + -1x = -6 + 1x + -1x Remove the zero: -1x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -1x = -6 + 0 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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