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Simplifying -6x + -9 + 3x = 4x + 12 Reorder the terms: -9 + -6x + 3x = 4x + 12 Combine like terms: -6x + 3x = -3x -9 + -3x = 4x + 12 Reorder the terms: -9 + -3x = 12 + 4x Solving -9 + -3x = 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. -9 + -3x + -4x = 12 + 4x + -4x Combine like terms: -3x + -4x = -7x -9 + -7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -7x = 12 + 0 -9 + -7x = 12 Add '9' to each side of the equation. -9 + 9 + -7x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 12 + 9 -7x = 12 + 9 Combine like terms: 12 + 9 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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