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Simplifying 3 + -4[2x + -3(x + 6)] = 0 Reorder the terms: 3 + -4[2x + -3(6 + x)] = 0 3 + -4[2x + (6 * -3 + x * -3)] = 0 3 + -4[2x + (-18 + -3x)] = 0 Reorder the terms: 3 + -4[-18 + 2x + -3x] = 0 Combine like terms: 2x + -3x = -1x 3 + -4[-18 + -1x] = 0 3 + [-18 * -4 + -1x * -4] = 0 3 + [72 + 4x] = 0 Combine like terms: 3 + 72 = 75 75 + 4x = 0 Solving 75 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 4x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 4x = 0 + -75 4x = 0 + -75 Combine like terms: 0 + -75 = -75 4x = -75 Divide each side by '4'. x = -18.75 Simplifying x = -18.75
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