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Simplifying 5x + -6 = 2x + 6x + 12 Reorder the terms: -6 + 5x = 2x + 6x + 12 Reorder the terms: -6 + 5x = 12 + 2x + 6x Combine like terms: 2x + 6x = 8x -6 + 5x = 12 + 8x Solving -6 + 5x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 5x + -8x = 12 + 8x + -8x Combine like terms: 5x + -8x = -3x -6 + -3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 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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