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Simplifying 9x + -6 = 4x + 9x + 12 Reorder the terms: -6 + 9x = 4x + 9x + 12 Reorder the terms: -6 + 9x = 12 + 4x + 9x Combine like terms: 4x + 9x = 13x -6 + 9x = 12 + 13x Solving -6 + 9x = 12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 9x + -13x = 12 + 13x + -13x Combine like terms: 9x + -13x = -4x -6 + -4x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -4x = 12 + 0 -6 + -4x = 12 Add '6' to each side of the equation. -6 + 6 + -4x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 12 + 6 -4x = 12 + 6 Combine like terms: 12 + 6 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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