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Simplifying 3x + -9 = 4x + 12 + 6 Reorder the terms: -9 + 3x = 4x + 12 + 6 Reorder the terms: -9 + 3x = 12 + 6 + 4x Combine like terms: 12 + 6 = 18 -9 + 3x = 18 + 4x Solving -9 + 3x = 18 + 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 = 18 + 4x + -4x Combine like terms: 3x + -4x = -1x -9 + -1x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -1x = 18 + 0 -9 + -1x = 18 Add '9' to each side of the equation. -9 + 9 + -1x = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 18 + 9 -1x = 18 + 9 Combine like terms: 18 + 9 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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