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Simplifying 6(x + -3) = 78 + -6x Reorder the terms: 6(-3 + x) = 78 + -6x (-3 * 6 + x * 6) = 78 + -6x (-18 + 6x) = 78 + -6x Solving -18 + 6x = 78 + -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. -18 + 6x + 6x = 78 + -6x + 6x Combine like terms: 6x + 6x = 12x -18 + 12x = 78 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 12x = 78 + 0 -18 + 12x = 78 Add '18' to each side of the equation. -18 + 18 + 12x = 78 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 78 + 18 12x = 78 + 18 Combine like terms: 78 + 18 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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