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Simplifying x + 12 = -2x + 6 Reorder the terms: 12 + x = -2x + 6 Reorder the terms: 12 + x = 6 + -2x Solving 12 + x = 6 + -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 + x + 2x = 6 + -2x + 2x Combine like terms: x + 2x = 3x 12 + 3x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 3x = 6 + 0 12 + 3x = 6 Add '-12' to each side of the equation. 12 + -12 + 3x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 6 + -12 3x = 6 + -12 Combine like terms: 6 + -12 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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