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Simplifying 12 + 2x = -12 + 10x Solving 12 + 2x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 2x + -10x = -12 + 10x + -10x Combine like terms: 2x + -10x = -8x 12 + -8x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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