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