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Simplifying 5x + -8x + 6 = x + -6 + 12 Reorder the terms: 6 + 5x + -8x = x + -6 + 12 Combine like terms: 5x + -8x = -3x 6 + -3x = x + -6 + 12 Reorder the terms: 6 + -3x = -6 + 12 + x Combine like terms: -6 + 12 = 6 6 + -3x = 6 + x Add '-6' to each side of the equation. 6 + -6 + -3x = 6 + -6 + x Combine like terms: 6 + -6 = 0 0 + -3x = 6 + -6 + x -3x = 6 + -6 + x Combine like terms: 6 + -6 = 0 -3x = 0 + x -3x = x Solving -3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3x + -1x = x + -1x Combine like terms: -3x + -1x = -4x -4x = x + -1x Combine like terms: x + -1x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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