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Simplifying 3x + -3[2 + -2(2x + 3)] = 2(3x + -3) Reorder the terms: 3x + -3[2 + -2(3 + 2x)] = 2(3x + -3) 3x + -3[2 + (3 * -2 + 2x * -2)] = 2(3x + -3) 3x + -3[2 + (-6 + -4x)] = 2(3x + -3) Combine like terms: 2 + -6 = -4 3x + -3[-4 + -4x] = 2(3x + -3) 3x + [-4 * -3 + -4x * -3] = 2(3x + -3) 3x + [12 + 12x] = 2(3x + -3) Reorder the terms: 12 + 3x + 12x = 2(3x + -3) Combine like terms: 3x + 12x = 15x 12 + 15x = 2(3x + -3) Reorder the terms: 12 + 15x = 2(-3 + 3x) 12 + 15x = (-3 * 2 + 3x * 2) 12 + 15x = (-6 + 6x) Solving 12 + 15x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 12 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 9x = -6 + 0 12 + 9x = -6 Add '-12' to each side of the equation. 12 + -12 + 9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -6 + -12 9x = -6 + -12 Combine like terms: -6 + -12 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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