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Simplifying 6x + 3x + -10 = 9 + 4x + 6 Reorder the terms: -10 + 6x + 3x = 9 + 4x + 6 Combine like terms: 6x + 3x = 9x -10 + 9x = 9 + 4x + 6 Reorder the terms: -10 + 9x = 9 + 6 + 4x Combine like terms: 9 + 6 = 15 -10 + 9x = 15 + 4x Solving -10 + 9x = 15 + 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. -10 + 9x + -4x = 15 + 4x + -4x Combine like terms: 9x + -4x = 5x -10 + 5x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 5x = 15 + 0 -10 + 5x = 15 Add '10' to each side of the equation. -10 + 10 + 5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 15 + 10 5x = 15 + 10 Combine like terms: 15 + 10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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