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Simplifying -17 = 2x + 7(-1x + 4) Reorder the terms: -17 = 2x + 7(4 + -1x) -17 = 2x + (4 * 7 + -1x * 7) -17 = 2x + (28 + -7x) Reorder the terms: -17 = 28 + 2x + -7x Combine like terms: 2x + -7x = -5x -17 = 28 + -5x Solving -17 = 28 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -17 + 5x = 28 + -5x + 5x Combine like terms: -5x + 5x = 0 -17 + 5x = 28 + 0 -17 + 5x = 28 Add '17' to each side of the equation. -17 + 17 + 5x = 28 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 28 + 17 5x = 28 + 17 Combine like terms: 28 + 17 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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