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Simplifying (3x + -12) + 78 = (6x + 12) Reorder the terms: (-12 + 3x) + 78 = (6x + 12) Remove parenthesis around (-12 + 3x) -12 + 3x + 78 = (6x + 12) Reorder the terms: -12 + 78 + 3x = (6x + 12) Combine like terms: -12 + 78 = 66 66 + 3x = (6x + 12) Reorder the terms: 66 + 3x = (12 + 6x) Remove parenthesis around (12 + 6x) 66 + 3x = 12 + 6x Solving 66 + 3x = 12 + 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. 66 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x 66 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 66 + -3x = 12 + 0 66 + -3x = 12 Add '-66' to each side of the equation. 66 + -66 + -3x = 12 + -66 Combine like terms: 66 + -66 = 0 0 + -3x = 12 + -66 -3x = 12 + -66 Combine like terms: 12 + -66 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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