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Simplifying 5x + -12 + 4x = 3x + -6 Reorder the terms: -12 + 5x + 4x = 3x + -6 Combine like terms: 5x + 4x = 9x -12 + 9x = 3x + -6 Reorder the terms: -12 + 9x = -6 + 3x Solving -12 + 9x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x -12 + 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 6x = -6 + 0 -12 + 6x = -6 Add '12' to each side of the equation. -12 + 12 + 6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -6 + 12 6x = -6 + 12 Combine like terms: -6 + 12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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