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Simplifying -5x + -17 = 2(4x + 4) + 1 Reorder the terms: -17 + -5x = 2(4x + 4) + 1 Reorder the terms: -17 + -5x = 2(4 + 4x) + 1 -17 + -5x = (4 * 2 + 4x * 2) + 1 -17 + -5x = (8 + 8x) + 1 Reorder the terms: -17 + -5x = 8 + 1 + 8x Combine like terms: 8 + 1 = 9 -17 + -5x = 9 + 8x Solving -17 + -5x = 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. -17 + -5x + -8x = 9 + 8x + -8x Combine like terms: -5x + -8x = -13x -17 + -13x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -13x = 9 + 0 -17 + -13x = 9 Add '17' to each side of the equation. -17 + 17 + -13x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -13x = 9 + 17 -13x = 9 + 17 Combine like terms: 9 + 17 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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