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Simplifying -2x + -17 + -5(x + -2) = 5x + -1(8x + -2) + -9x + 6 Reorder the terms: -2x + -17 + -5(-2 + x) = 5x + -1(8x + -2) + -9x + 6 -2x + -17 + (-2 * -5 + x * -5) = 5x + -1(8x + -2) + -9x + 6 -2x + -17 + (10 + -5x) = 5x + -1(8x + -2) + -9x + 6 Reorder the terms: -17 + 10 + -2x + -5x = 5x + -1(8x + -2) + -9x + 6 Combine like terms: -17 + 10 = -7 -7 + -2x + -5x = 5x + -1(8x + -2) + -9x + 6 Combine like terms: -2x + -5x = -7x -7 + -7x = 5x + -1(8x + -2) + -9x + 6 Reorder the terms: -7 + -7x = 5x + -1(-2 + 8x) + -9x + 6 -7 + -7x = 5x + (-2 * -1 + 8x * -1) + -9x + 6 -7 + -7x = 5x + (2 + -8x) + -9x + 6 Reorder the terms: -7 + -7x = 2 + 6 + 5x + -8x + -9x Combine like terms: 2 + 6 = 8 -7 + -7x = 8 + 5x + -8x + -9x Combine like terms: 5x + -8x = -3x -7 + -7x = 8 + -3x + -9x Combine like terms: -3x + -9x = -12x -7 + -7x = 8 + -12x Solving -7 + -7x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -7 + -7x + 12x = 8 + -12x + 12x Combine like terms: -7x + 12x = 5x -7 + 5x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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