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Simplifying 8 + -2x + 4 = 2 + -4x + 8 Reorder the terms: 8 + 4 + -2x = 2 + -4x + 8 Combine like terms: 8 + 4 = 12 12 + -2x = 2 + -4x + 8 Reorder the terms: 12 + -2x = 2 + 8 + -4x Combine like terms: 2 + 8 = 10 12 + -2x = 10 + -4x Solving 12 + -2x = 10 + -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. 12 + -2x + 4x = 10 + -4x + 4x Combine like terms: -2x + 4x = 2x 12 + 2x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 2x = 10 + 0 12 + 2x = 10 Add '-12' to each side of the equation. 12 + -12 + 2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 10 + -12 2x = 10 + -12 Combine like terms: 10 + -12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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