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Simplifying 3x + -9 + 7x + -10 = 9x + -5x + 5 Reorder the terms: -9 + -10 + 3x + 7x = 9x + -5x + 5 Combine like terms: -9 + -10 = -19 -19 + 3x + 7x = 9x + -5x + 5 Combine like terms: 3x + 7x = 10x -19 + 10x = 9x + -5x + 5 Reorder the terms: -19 + 10x = 5 + 9x + -5x Combine like terms: 9x + -5x = 4x -19 + 10x = 5 + 4x Solving -19 + 10x = 5 + 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. -19 + 10x + -4x = 5 + 4x + -4x Combine like terms: 10x + -4x = 6x -19 + 6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -19 + 6x = 5 + 0 -19 + 6x = 5 Add '19' to each side of the equation. -19 + 19 + 6x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 5 + 19 6x = 5 + 19 Combine like terms: 5 + 19 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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