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Simplifying 4[24 + -6(3x + -5) + 22x] = 0 Reorder the terms: 4[24 + -6(-5 + 3x) + 22x] = 0 4[24 + (-5 * -6 + 3x * -6) + 22x] = 0 4[24 + (30 + -18x) + 22x] = 0 Combine like terms: 24 + 30 = 54 4[54 + -18x + 22x] = 0 Combine like terms: -18x + 22x = 4x 4[54 + 4x] = 0 [54 * 4 + 4x * 4] = 0 [216 + 16x] = 0 Solving 216 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + 16x = 0 + -216 Combine like terms: 216 + -216 = 0 0 + 16x = 0 + -216 16x = 0 + -216 Combine like terms: 0 + -216 = -216 16x = -216 Divide each side by '16'. x = -13.5 Simplifying x = -13.5
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