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Simplifying 3x + 2x + -6 = 8 + -4x + 10 Reorder the terms: -6 + 3x + 2x = 8 + -4x + 10 Combine like terms: 3x + 2x = 5x -6 + 5x = 8 + -4x + 10 Reorder the terms: -6 + 5x = 8 + 10 + -4x Combine like terms: 8 + 10 = 18 -6 + 5x = 18 + -4x Solving -6 + 5x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 5x + 4x = 18 + -4x + 4x Combine like terms: 5x + 4x = 9x -6 + 9x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 9x = 18 + 0 -6 + 9x = 18 Add '6' to each side of the equation. -6 + 6 + 9x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 18 + 6 9x = 18 + 6 Combine like terms: 18 + 6 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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