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Simplifying -5(7 + -4x) + -1(1 + -1x) = 4(x + -8) (7 * -5 + -4x * -5) + -1(1 + -1x) = 4(x + -8) (-35 + 20x) + -1(1 + -1x) = 4(x + -8) -35 + 20x + (1 * -1 + -1x * -1) = 4(x + -8) -35 + 20x + (-1 + 1x) = 4(x + -8) Reorder the terms: -35 + -1 + 20x + 1x = 4(x + -8) Combine like terms: -35 + -1 = -36 -36 + 20x + 1x = 4(x + -8) Combine like terms: 20x + 1x = 21x -36 + 21x = 4(x + -8) Reorder the terms: -36 + 21x = 4(-8 + x) -36 + 21x = (-8 * 4 + x * 4) -36 + 21x = (-32 + 4x) Solving -36 + 21x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 21x + -4x = -32 + 4x + -4x Combine like terms: 21x + -4x = 17x -36 + 17x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 17x = -32 + 0 -36 + 17x = -32 Add '36' to each side of the equation. -36 + 36 + 17x = -32 + 36 Combine like terms: -36 + 36 = 0 0 + 17x = -32 + 36 17x = -32 + 36 Combine like terms: -32 + 36 = 4 17x = 4 Divide each side by '17'. x = 0.2352941176 Simplifying x = 0.2352941176
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