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Simplifying 12 + -8x = 42 + -2x Solving 12 + -8x = 42 + -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. 12 + -8x + 2x = 42 + -2x + 2x Combine like terms: -8x + 2x = -6x 12 + -6x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -6x = 42 + 0 12 + -6x = 42 Add '-12' to each side of the equation. 12 + -12 + -6x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 42 + -12 -6x = 42 + -12 Combine like terms: 42 + -12 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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