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Simplifying 4(x + -4) + -1 = -5(-5x + 5) + -7x Reorder the terms: 4(-4 + x) + -1 = -5(-5x + 5) + -7x (-4 * 4 + x * 4) + -1 = -5(-5x + 5) + -7x (-16 + 4x) + -1 = -5(-5x + 5) + -7x Reorder the terms: -16 + -1 + 4x = -5(-5x + 5) + -7x Combine like terms: -16 + -1 = -17 -17 + 4x = -5(-5x + 5) + -7x Reorder the terms: -17 + 4x = -5(5 + -5x) + -7x -17 + 4x = (5 * -5 + -5x * -5) + -7x -17 + 4x = (-25 + 25x) + -7x Combine like terms: 25x + -7x = 18x -17 + 4x = -25 + 18x Solving -17 + 4x = -25 + 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 + 4x + -18x = -25 + 18x + -18x Combine like terms: 4x + -18x = -14x -17 + -14x = -25 + 18x + -18x Combine like terms: 18x + -18x = 0 -17 + -14x = -25 + 0 -17 + -14x = -25 Add '17' to each side of the equation. -17 + 17 + -14x = -25 + 17 Combine like terms: -17 + 17 = 0 0 + -14x = -25 + 17 -14x = -25 + 17 Combine like terms: -25 + 17 = -8 -14x = -8 Divide each side by '-14'. x = 0.5714285714 Simplifying x = 0.5714285714
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