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Simplifying 5x + -6 = 12 + 2x Reorder the terms: -6 + 5x = 12 + 2x Solving -6 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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