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Simplifying -8x + -24 + 12x = 10x + 14x + 16 Reorder the terms: -24 + -8x + 12x = 10x + 14x + 16 Combine like terms: -8x + 12x = 4x -24 + 4x = 10x + 14x + 16 Reorder the terms: -24 + 4x = 16 + 10x + 14x Combine like terms: 10x + 14x = 24x -24 + 4x = 16 + 24x Solving -24 + 4x = 16 + 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. -24 + 4x + -24x = 16 + 24x + -24x Combine like terms: 4x + -24x = -20x -24 + -20x = 16 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -20x = 16 + 0 -24 + -20x = 16 Add '24' to each side of the equation. -24 + 24 + -20x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -20x = 16 + 24 -20x = 16 + 24 Combine like terms: 16 + 24 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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