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Simplifying 5x + -6 = -1x + 12 + -3x Reorder the terms: -6 + 5x = -1x + 12 + -3x Reorder the terms: -6 + 5x = 12 + -1x + -3x Combine like terms: -1x + -3x = -4x -6 + 5x = 12 + -4x Solving -6 + 5x = 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. -6 + 5x + 4x = 12 + -4x + 4x Combine like terms: 5x + 4x = 9x -6 + 9x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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