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Simplifying 3 + -6[2 + -4x(x + 3)] = 3x(8x + 12) + 27 Reorder the terms: 3 + -6[2 + -4x(3 + x)] = 3x(8x + 12) + 27 3 + -6[2 + (3 * -4x + x * -4x)] = 3x(8x + 12) + 27 3 + -6[2 + (-12x + -4x2)] = 3x(8x + 12) + 27 3 + [2 * -6 + -12x * -6 + -4x2 * -6] = 3x(8x + 12) + 27 3 + [-12 + 72x + 24x2] = 3x(8x + 12) + 27 Combine like terms: 3 + -12 = -9 -9 + 72x + 24x2 = 3x(8x + 12) + 27 Reorder the terms: -9 + 72x + 24x2 = 3x(12 + 8x) + 27 -9 + 72x + 24x2 = (12 * 3x + 8x * 3x) + 27 -9 + 72x + 24x2 = (36x + 24x2) + 27 Reorder the terms: -9 + 72x + 24x2 = 27 + 36x + 24x2 Add '-24x2' to each side of the equation. -9 + 72x + 24x2 + -24x2 = 27 + 36x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -9 + 72x + 0 = 27 + 36x + 24x2 + -24x2 -9 + 72x = 27 + 36x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 -9 + 72x = 27 + 36x + 0 -9 + 72x = 27 + 36x Solving -9 + 72x = 27 + 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. -9 + 72x + -36x = 27 + 36x + -36x Combine like terms: 72x + -36x = 36x -9 + 36x = 27 + 36x + -36x Combine like terms: 36x + -36x = 0 -9 + 36x = 27 + 0 -9 + 36x = 27 Add '9' to each side of the equation. -9 + 9 + 36x = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 36x = 27 + 9 36x = 27 + 9 Combine like terms: 27 + 9 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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