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Simplifying 12(5 + 2x) = 4x(6 + -9x) (5 * 12 + 2x * 12) = 4x(6 + -9x) (60 + 24x) = 4x(6 + -9x) 60 + 24x = (6 * 4x + -9x * 4x) 60 + 24x = (24x + -36x2) Add '-24x' to each side of the equation. 60 + 24x + -24x = 24x + -24x + -36x2 Combine like terms: 24x + -24x = 0 60 + 0 = 24x + -24x + -36x2 60 = 24x + -24x + -36x2 Combine like terms: 24x + -24x = 0 60 = 0 + -36x2 60 = -36x2 Solving 60 = -36x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x2' to each side of the equation. 60 + 36x2 = -36x2 + 36x2 Combine like terms: -36x2 + 36x2 = 0 60 + 36x2 = 0 Add '-60' to each side of the equation. 60 + -60 + 36x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 36x2 = 0 + -60 36x2 = 0 + -60 Combine like terms: 0 + -60 = -60 36x2 = -60 Divide each side by '36'. x2 = -1.666666667 Simplifying x2 = -1.666666667 Reorder the terms: 1.666666667 + x2 = -1.666666667 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 1.666666667 + x2 = 0.000000000 The solution to this equation could not be determined.
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