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Simplifying 6x + 8 + -2x + -16 = 12x + 6 + -7x + 10 Reorder the terms: 8 + -16 + 6x + -2x = 12x + 6 + -7x + 10 Combine like terms: 8 + -16 = -8 -8 + 6x + -2x = 12x + 6 + -7x + 10 Combine like terms: 6x + -2x = 4x -8 + 4x = 12x + 6 + -7x + 10 Reorder the terms: -8 + 4x = 6 + 10 + 12x + -7x Combine like terms: 6 + 10 = 16 -8 + 4x = 16 + 12x + -7x Combine like terms: 12x + -7x = 5x -8 + 4x = 16 + 5x Solving -8 + 4x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 4x + -5x = 16 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = 16 + 0 -8 + -1x = 16 Add '8' to each side of the equation. -8 + 8 + -1x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 16 + 8 -1x = 16 + 8 Combine like terms: 16 + 8 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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