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Simplifying 12 + 2x = -36 + 6x Solving 12 + 2x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 2x + -6x = -36 + 6x + -6x Combine like terms: 2x + -6x = -4x 12 + -4x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = -36 + 0 12 + -4x = -36 Add '-12' to each side of the equation. 12 + -12 + -4x = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -36 + -12 -4x = -36 + -12 Combine like terms: -36 + -12 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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