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