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Simplifying -78 = 6x + -6(3x + -7) Reorder the terms: -78 = 6x + -6(-7 + 3x) -78 = 6x + (-7 * -6 + 3x * -6) -78 = 6x + (42 + -18x) Reorder the terms: -78 = 42 + 6x + -18x Combine like terms: 6x + -18x = -12x -78 = 42 + -12x Solving -78 = 42 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -78 + 12x = 42 + -12x + 12x Combine like terms: -12x + 12x = 0 -78 + 12x = 42 + 0 -78 + 12x = 42 Add '78' to each side of the equation. -78 + 78 + 12x = 42 + 78 Combine like terms: -78 + 78 = 0 0 + 12x = 42 + 78 12x = 42 + 78 Combine like terms: 42 + 78 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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