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Simplifying 11x + -30 + 5x + 6 = 8x + 24 Reorder the terms: -30 + 6 + 11x + 5x = 8x + 24 Combine like terms: -30 + 6 = -24 -24 + 11x + 5x = 8x + 24 Combine like terms: 11x + 5x = 16x -24 + 16x = 8x + 24 Reorder the terms: -24 + 16x = 24 + 8x Solving -24 + 16x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 16x + -8x = 24 + 8x + -8x Combine like terms: 16x + -8x = 8x -24 + 8x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 8x = 24 + 0 -24 + 8x = 24 Add '24' to each side of the equation. -24 + 24 + 8x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 24 + 24 8x = 24 + 24 Combine like terms: 24 + 24 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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