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