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Simplifying 27x + -216 + -48x = 576 + -24x + 24 Reorder the terms: -216 + 27x + -48x = 576 + -24x + 24 Combine like terms: 27x + -48x = -21x -216 + -21x = 576 + -24x + 24 Reorder the terms: -216 + -21x = 576 + 24 + -24x Combine like terms: 576 + 24 = 600 -216 + -21x = 600 + -24x Solving -216 + -21x = 600 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -216 + -21x + 24x = 600 + -24x + 24x Combine like terms: -21x + 24x = 3x -216 + 3x = 600 + -24x + 24x Combine like terms: -24x + 24x = 0 -216 + 3x = 600 + 0 -216 + 3x = 600 Add '216' to each side of the equation. -216 + 216 + 3x = 600 + 216 Combine like terms: -216 + 216 = 0 0 + 3x = 600 + 216 3x = 600 + 216 Combine like terms: 600 + 216 = 816 3x = 816 Divide each side by '3'. x = 272 Simplifying x = 272
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