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Simplifying 2[3x + -1(4x + -6)] = 9(x + -6) Reorder the terms: 2[3x + -1(-6 + 4x)] = 9(x + -6) 2[3x + (-6 * -1 + 4x * -1)] = 9(x + -6) 2[3x + (6 + -4x)] = 9(x + -6) Reorder the terms: 2[6 + 3x + -4x] = 9(x + -6) Combine like terms: 3x + -4x = -1x 2[6 + -1x] = 9(x + -6) [6 * 2 + -1x * 2] = 9(x + -6) [12 + -2x] = 9(x + -6) Reorder the terms: 12 + -2x = 9(-6 + x) 12 + -2x = (-6 * 9 + x * 9) 12 + -2x = (-54 + 9x) Solving 12 + -2x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -2x + -9x = -54 + 9x + -9x Combine like terms: -2x + -9x = -11x 12 + -11x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -11x = -54 + 0 12 + -11x = -54 Add '-12' to each side of the equation. 12 + -12 + -11x = -54 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -54 + -12 -11x = -54 + -12 Combine like terms: -54 + -12 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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