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Simplifying 2 + -1(17 + -5x) = 9x + -1(x + 7) 2 + (17 * -1 + -5x * -1) = 9x + -1(x + 7) 2 + (-17 + 5x) = 9x + -1(x + 7) Combine like terms: 2 + -17 = -15 -15 + 5x = 9x + -1(x + 7) Reorder the terms: -15 + 5x = 9x + -1(7 + x) -15 + 5x = 9x + (7 * -1 + x * -1) -15 + 5x = 9x + (-7 + -1x) Reorder the terms: -15 + 5x = -7 + 9x + -1x Combine like terms: 9x + -1x = 8x -15 + 5x = -7 + 8x Solving -15 + 5x = -7 + 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. -15 + 5x + -8x = -7 + 8x + -8x Combine like terms: 5x + -8x = -3x -15 + -3x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -3x = -7 + 0 -15 + -3x = -7 Add '15' to each side of the equation. -15 + 15 + -3x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -7 + 15 -3x = -7 + 15 Combine like terms: -7 + 15 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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