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Simplifying 3x + -5[2x + -4(6 + -1x)] = 0 3x + -5[2x + (6 * -4 + -1x * -4)] = 0 3x + -5[2x + (-24 + 4x)] = 0 Reorder the terms: 3x + -5[-24 + 2x + 4x] = 0 Combine like terms: 2x + 4x = 6x 3x + -5[-24 + 6x] = 0 3x + [-24 * -5 + 6x * -5] = 0 3x + [120 + -30x] = 0 Reorder the terms: 120 + 3x + -30x = 0 Combine like terms: 3x + -30x = -27x 120 + -27x = 0 Solving 120 + -27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -27x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -27x = 0 + -120 -27x = 0 + -120 Combine like terms: 0 + -120 = -120 -27x = -120 Divide each side by '-27'. x = 4.444444444 Simplifying x = 4.444444444
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