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Simplifying 2x + -1(7 + -8x) + -7x = -5x + 9 2x + (7 * -1 + -8x * -1) + -7x = -5x + 9 2x + (-7 + 8x) + -7x = -5x + 9 Reorder the terms: -7 + 2x + 8x + -7x = -5x + 9 Combine like terms: 2x + 8x = 10x -7 + 10x + -7x = -5x + 9 Combine like terms: 10x + -7x = 3x -7 + 3x = -5x + 9 Reorder the terms: -7 + 3x = 9 + -5x Solving -7 + 3x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 3x + 5x = 9 + -5x + 5x Combine like terms: 3x + 5x = 8x -7 + 8x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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