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Simplifying 3x + -6 = -8x + 6 + 7x Reorder the terms: -6 + 3x = -8x + 6 + 7x Reorder the terms: -6 + 3x = 6 + -8x + 7x Combine like terms: -8x + 7x = -1x -6 + 3x = 6 + -1x Solving -6 + 3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x -6 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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