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Simplifying -7(3x + 5) = -1(8x + -4) Reorder the terms: -7(5 + 3x) = -1(8x + -4) (5 * -7 + 3x * -7) = -1(8x + -4) (-35 + -21x) = -1(8x + -4) Reorder the terms: -35 + -21x = -1(-4 + 8x) -35 + -21x = (-4 * -1 + 8x * -1) -35 + -21x = (4 + -8x) Solving -35 + -21x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -35 + -21x + 8x = 4 + -8x + 8x Combine like terms: -21x + 8x = -13x -35 + -13x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + -13x = 4 + 0 -35 + -13x = 4 Add '35' to each side of the equation. -35 + 35 + -13x = 4 + 35 Combine like terms: -35 + 35 = 0 0 + -13x = 4 + 35 -13x = 4 + 35 Combine like terms: 4 + 35 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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