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Simplifying 78 = 6(6x + -17) Reorder the terms: 78 = 6(-17 + 6x) 78 = (-17 * 6 + 6x * 6) 78 = (-102 + 36x) Solving 78 = -102 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 78 + -36x = -102 + 36x + -36x Combine like terms: 36x + -36x = 0 78 + -36x = -102 + 0 78 + -36x = -102 Add '-78' to each side of the equation. 78 + -78 + -36x = -102 + -78 Combine like terms: 78 + -78 = 0 0 + -36x = -102 + -78 -36x = -102 + -78 Combine like terms: -102 + -78 = -180 -36x = -180 Divide each side by '-36'. x = 5 Simplifying x = 5
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