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Simplifying 14x + -24 + 4x = 92 + 6x + 16 Reorder the terms: -24 + 14x + 4x = 92 + 6x + 16 Combine like terms: 14x + 4x = 18x -24 + 18x = 92 + 6x + 16 Reorder the terms: -24 + 18x = 92 + 16 + 6x Combine like terms: 92 + 16 = 108 -24 + 18x = 108 + 6x Solving -24 + 18x = 108 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 18x + -6x = 108 + 6x + -6x Combine like terms: 18x + -6x = 12x -24 + 12x = 108 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 12x = 108 + 0 -24 + 12x = 108 Add '24' to each side of the equation. -24 + 24 + 12x = 108 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 108 + 24 12x = 108 + 24 Combine like terms: 108 + 24 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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