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Simplifying -78 = 6(x + -6) Reorder the terms: -78 = 6(-6 + x) -78 = (-6 * 6 + x * 6) -78 = (-36 + 6x) Solving -78 = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -78 + -6x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -78 + -6x = -36 + 0 -78 + -6x = -36 Add '78' to each side of the equation. -78 + 78 + -6x = -36 + 78 Combine like terms: -78 + 78 = 0 0 + -6x = -36 + 78 -6x = -36 + 78 Combine like terms: -36 + 78 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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