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Simplifying 78 = -9x + -3[-56 + 12x] 78 = -9x + [-56 * -3 + 12x * -3] 78 = -9x + [168 + -36x] Reorder the terms: 78 = 168 + -9x + -36x Combine like terms: -9x + -36x = -45x 78 = 168 + -45x Solving 78 = 168 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 78 + 45x = 168 + -45x + 45x Combine like terms: -45x + 45x = 0 78 + 45x = 168 + 0 78 + 45x = 168 Add '-78' to each side of the equation. 78 + -78 + 45x = 168 + -78 Combine like terms: 78 + -78 = 0 0 + 45x = 168 + -78 45x = 168 + -78 Combine like terms: 168 + -78 = 90 45x = 90 Divide each side by '45'. x = 2 Simplifying x = 2
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