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Simplifying -72 = 6x + -6(4x + -6) Reorder the terms: -72 = 6x + -6(-6 + 4x) -72 = 6x + (-6 * -6 + 4x * -6) -72 = 6x + (36 + -24x) Reorder the terms: -72 = 36 + 6x + -24x Combine like terms: 6x + -24x = -18x -72 = 36 + -18x Solving -72 = 36 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -72 + 18x = 36 + -18x + 18x Combine like terms: -18x + 18x = 0 -72 + 18x = 36 + 0 -72 + 18x = 36 Add '72' to each side of the equation. -72 + 72 + 18x = 36 + 72 Combine like terms: -72 + 72 = 0 0 + 18x = 36 + 72 18x = 36 + 72 Combine like terms: 36 + 72 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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