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Simplifying 2x + -12 + 4 = 4x + 8 + -6 Reorder the terms: -12 + 4 + 2x = 4x + 8 + -6 Combine like terms: -12 + 4 = -8 -8 + 2x = 4x + 8 + -6 Reorder the terms: -8 + 2x = 8 + -6 + 4x Combine like terms: 8 + -6 = 2 -8 + 2x = 2 + 4x Solving -8 + 2x = 2 + 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. -8 + 2x + -4x = 2 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = 2 + 0 -8 + -2x = 2 Add '8' to each side of the equation. -8 + 8 + -2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 2 + 8 -2x = 2 + 8 Combine like terms: 2 + 8 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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