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Simplifying 3x + -6 + 4x = 10 + -1x Reorder the terms: -6 + 3x + 4x = 10 + -1x Combine like terms: 3x + 4x = 7x -6 + 7x = 10 + -1x Solving -6 + 7x = 10 + -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 + 7x + x = 10 + -1x + x Combine like terms: 7x + x = 8x -6 + 8x = 10 + -1x + x Combine like terms: -1x + x = 0 -6 + 8x = 10 + 0 -6 + 8x = 10 Add '6' to each side of the equation. -6 + 6 + 8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 10 + 6 8x = 10 + 6 Combine like terms: 10 + 6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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