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Simplifying 6(6x + -12) = 54x Reorder the terms: 6(-12 + 6x) = 54x (-12 * 6 + 6x * 6) = 54x (-72 + 36x) = 54x Solving -72 + 36x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -72 + 36x + -54x = 54x + -54x Combine like terms: 36x + -54x = -18x -72 + -18x = 54x + -54x Combine like terms: 54x + -54x = 0 -72 + -18x = 0 Add '72' to each side of the equation. -72 + 72 + -18x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -18x = 0 + 72 -18x = 0 + 72 Combine like terms: 0 + 72 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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