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Simplifying 6(x + 5) = 7[3X + -1(4 + -2X)] Reorder the terms: 6(5 + x) = 7[3X + -1(4 + -2X)] (5 * 6 + x * 6) = 7[3X + -1(4 + -2X)] (30 + 6x) = 7[3X + -1(4 + -2X)] 30 + 6x = 7[3X + (4 * -1 + -2X * -1)] 30 + 6x = 7[3X + (-4 + 2X)] Reorder the terms: 30 + 6x = 7[-4 + 3X + 2X] Combine like terms: 3X + 2X = 5X 30 + 6x = 7[-4 + 5X] 30 + 6x = [-4 * 7 + 5X * 7] 30 + 6x = [-28 + 35X] Solving 30 + 6x = -28 + 35X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6x = -28 + -30 + 35X Combine like terms: 30 + -30 = 0 0 + 6x = -28 + -30 + 35X 6x = -28 + -30 + 35X Combine like terms: -28 + -30 = -58 6x = -58 + 35X Divide each side by '6'. x = -9.666666667 + 5.833333333X Simplifying x = -9.666666667 + 5.833333333X
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