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Simplifying 78 + (3x + -12) = 6x + -12 Reorder the terms: 78 + (-12 + 3x) = 6x + -12 Remove parenthesis around (-12 + 3x) 78 + -12 + 3x = 6x + -12 Combine like terms: 78 + -12 = 66 66 + 3x = 6x + -12 Reorder the terms: 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 = -78 -3x = -78 Divide each side by '-3'. x = 26 Simplifying x = 26
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