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Simplifying 3x + 4x + -12 = 14x + -5x + 6 Reorder the terms: -12 + 3x + 4x = 14x + -5x + 6 Combine like terms: 3x + 4x = 7x -12 + 7x = 14x + -5x + 6 Reorder the terms: -12 + 7x = 6 + 14x + -5x Combine like terms: 14x + -5x = 9x -12 + 7x = 6 + 9x Solving -12 + 7x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 7x + -9x = 6 + 9x + -9x Combine like terms: 7x + -9x = -2x -12 + -2x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -2x = 6 + 0 -12 + -2x = 6 Add '12' to each side of the equation. -12 + 12 + -2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 6 + 12 -2x = 6 + 12 Combine like terms: 6 + 12 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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