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Simplifying 3x + -12 + -5x = 5 + -6x + -9 Reorder the terms: -12 + 3x + -5x = 5 + -6x + -9 Combine like terms: 3x + -5x = -2x -12 + -2x = 5 + -6x + -9 Reorder the terms: -12 + -2x = 5 + -9 + -6x Combine like terms: 5 + -9 = -4 -12 + -2x = -4 + -6x Solving -12 + -2x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + -2x + 6x = -4 + -6x + 6x Combine like terms: -2x + 6x = 4x -12 + 4x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 4x = -4 + 0 -12 + 4x = -4 Add '12' to each side of the equation. -12 + 12 + 4x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -4 + 12 4x = -4 + 12 Combine like terms: -4 + 12 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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