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Simplifying 2x + 3[4 + -2(3x + -2)] = 2(x + -6) Reorder the terms: 2x + 3[4 + -2(-2 + 3x)] = 2(x + -6) 2x + 3[4 + (-2 * -2 + 3x * -2)] = 2(x + -6) 2x + 3[4 + (4 + -6x)] = 2(x + -6) Combine like terms: 4 + 4 = 8 2x + 3[8 + -6x] = 2(x + -6) 2x + [8 * 3 + -6x * 3] = 2(x + -6) 2x + [24 + -18x] = 2(x + -6) Reorder the terms: 24 + 2x + -18x = 2(x + -6) Combine like terms: 2x + -18x = -16x 24 + -16x = 2(x + -6) Reorder the terms: 24 + -16x = 2(-6 + x) 24 + -16x = (-6 * 2 + x * 2) 24 + -16x = (-12 + 2x) Solving 24 + -16x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -16x + -2x = -12 + 2x + -2x Combine like terms: -16x + -2x = -18x 24 + -18x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -18x = -12 + 0 24 + -18x = -12 Add '-24' to each side of the equation. 24 + -24 + -18x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -12 + -24 -18x = -12 + -24 Combine like terms: -12 + -24 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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