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Simplifying 78 = 3x + 3(x + 6) Reorder the terms: 78 = 3x + 3(6 + x) 78 = 3x + (6 * 3 + x * 3) 78 = 3x + (18 + 3x) Reorder the terms: 78 = 18 + 3x + 3x Combine like terms: 3x + 3x = 6x 78 = 18 + 6x Solving 78 = 18 + 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 = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + -6x = 18 + 0 78 + -6x = 18 Add '-78' to each side of the equation. 78 + -78 + -6x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 18 + -78 -6x = 18 + -78 Combine like terms: 18 + -78 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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