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Simplifying X2 + -12x + 36(x + -6) = 27(x + -8) Reorder the terms: X2 + -12x + 36(-6 + x) = 27(x + -8) X2 + -12x + (-6 * 36 + x * 36) = 27(x + -8) X2 + -12x + (-216 + 36x) = 27(x + -8) Reorder the terms: -216 + X2 + -12x + 36x = 27(x + -8) Combine like terms: -12x + 36x = 24x -216 + X2 + 24x = 27(x + -8) Reorder the terms: -216 + X2 + 24x = 27(-8 + x) -216 + X2 + 24x = (-8 * 27 + x * 27) -216 + X2 + 24x = (-216 + 27x) Add '216' to each side of the equation. -216 + X2 + 216 + 24x = -216 + 216 + 27x Reorder the terms: -216 + 216 + X2 + 24x = -216 + 216 + 27x Combine like terms: -216 + 216 = 0 0 + X2 + 24x = -216 + 216 + 27x X2 + 24x = -216 + 216 + 27x Combine like terms: -216 + 216 = 0 X2 + 24x = 0 + 27x X2 + 24x = 27x Solving X2 + 24x = 27x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24x' to each side of the equation. X2 + 24x + -24x = 27x + -24x Combine like terms: 24x + -24x = 0 X2 + 0 = 27x + -24x X2 = 27x + -24x Combine like terms: 27x + -24x = 3x X2 = 3x Simplifying X2 = 3x Combine like terms: 3x + -3x = 0 X2 + -3x = 0 The solution to this equation could not be determined.
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