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Simplifying -17 = -5(4x + -4) + 2x + -1 Reorder the terms: -17 = -5(-4 + 4x) + 2x + -1 -17 = (-4 * -5 + 4x * -5) + 2x + -1 -17 = (20 + -20x) + 2x + -1 Reorder the terms: -17 = 20 + -1 + -20x + 2x Combine like terms: 20 + -1 = 19 -17 = 19 + -20x + 2x Combine like terms: -20x + 2x = -18x -17 = 19 + -18x Solving -17 = 19 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -17 + 18x = 19 + -18x + 18x Combine like terms: -18x + 18x = 0 -17 + 18x = 19 + 0 -17 + 18x = 19 Add '17' to each side of the equation. -17 + 17 + 18x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 18x = 19 + 17 18x = 19 + 17 Combine like terms: 19 + 17 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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