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Simplifying 7(x + -1) = 5x + 3 + -2(-8x + -1) Reorder the terms: 7(-1 + x) = 5x + 3 + -2(-8x + -1) (-1 * 7 + x * 7) = 5x + 3 + -2(-8x + -1) (-7 + 7x) = 5x + 3 + -2(-8x + -1) Reorder the terms: -7 + 7x = 5x + 3 + -2(-1 + -8x) -7 + 7x = 5x + 3 + (-1 * -2 + -8x * -2) -7 + 7x = 5x + 3 + (2 + 16x) Reorder the terms: -7 + 7x = 3 + 2 + 5x + 16x Combine like terms: 3 + 2 = 5 -7 + 7x = 5 + 5x + 16x Combine like terms: 5x + 16x = 21x -7 + 7x = 5 + 21x Solving -7 + 7x = 5 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -7 + 7x + -21x = 5 + 21x + -21x Combine like terms: 7x + -21x = -14x -7 + -14x = 5 + 21x + -21x Combine like terms: 21x + -21x = 0 -7 + -14x = 5 + 0 -7 + -14x = 5 Add '7' to each side of the equation. -7 + 7 + -14x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -14x = 5 + 7 -14x = 5 + 7 Combine like terms: 5 + 7 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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