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Simplifying 2(3x + -6) = 5(7X + -8) Reorder the terms: 2(-6 + 3x) = 5(7X + -8) (-6 * 2 + 3x * 2) = 5(7X + -8) (-12 + 6x) = 5(7X + -8) Reorder the terms: -12 + 6x = 5(-8 + 7X) -12 + 6x = (-8 * 5 + 7X * 5) -12 + 6x = (-40 + 35X) Solving -12 + 6x = -40 + 35X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6x = -40 + 12 + 35X Combine like terms: -12 + 12 = 0 0 + 6x = -40 + 12 + 35X 6x = -40 + 12 + 35X Combine like terms: -40 + 12 = -28 6x = -28 + 35X Divide each side by '6'. x = -4.666666667 + 5.833333333X Simplifying x = -4.666666667 + 5.833333333X
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