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Simplifying 3 + 4x + -9 = 6x + -4 + 12 Reorder the terms: 3 + -9 + 4x = 6x + -4 + 12 Combine like terms: 3 + -9 = -6 -6 + 4x = 6x + -4 + 12 Reorder the terms: -6 + 4x = -4 + 12 + 6x Combine like terms: -4 + 12 = 8 -6 + 4x = 8 + 6x Solving -6 + 4x = 8 + 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. -6 + 4x + -6x = 8 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = 8 + 0 -6 + -2x = 8 Add '6' to each side of the equation. -6 + 6 + -2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 8 + 6 -2x = 8 + 6 Combine like terms: 8 + 6 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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