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Simplifying 3x + -5 = -8(4x + 5) Reorder the terms: -5 + 3x = -8(4x + 5) Reorder the terms: -5 + 3x = -8(5 + 4x) -5 + 3x = (5 * -8 + 4x * -8) -5 + 3x = (-40 + -32x) Solving -5 + 3x = -40 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -5 + 3x + 32x = -40 + -32x + 32x Combine like terms: 3x + 32x = 35x -5 + 35x = -40 + -32x + 32x Combine like terms: -32x + 32x = 0 -5 + 35x = -40 + 0 -5 + 35x = -40 Add '5' to each side of the equation. -5 + 5 + 35x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 35x = -40 + 5 35x = -40 + 5 Combine like terms: -40 + 5 = -35 35x = -35 Divide each side by '35'. x = -1 Simplifying x = -1
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