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