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Simplifying 6 + -2x = 5x + -9x + -12 Reorder the terms: 6 + -2x = -12 + 5x + -9x Combine like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -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. 6 + -2x + 4x = -12 + -4x + 4x Combine like terms: -2x + 4x = 2x 6 + 2x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 2x = -12 + 0 6 + 2x = -12 Add '-6' to each side of the equation. 6 + -6 + 2x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -12 + -6 2x = -12 + -6 Combine like terms: -12 + -6 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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