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Simplifying 2x + 4 + -2x = 6x + -12 + -2x Reorder the terms: 4 + 2x + -2x = 6x + -12 + -2x Combine like terms: 2x + -2x = 0 4 + 0 = 6x + -12 + -2x 4 = 6x + -12 + -2x Reorder the terms: 4 = -12 + 6x + -2x Combine like terms: 6x + -2x = 4x 4 = -12 + 4x Solving 4 = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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