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Simplifying -5x + -8(x + 5) = -4(3x + 8) Reorder the terms: -5x + -8(5 + x) = -4(3x + 8) -5x + (5 * -8 + x * -8) = -4(3x + 8) -5x + (-40 + -8x) = -4(3x + 8) Reorder the terms: -40 + -5x + -8x = -4(3x + 8) Combine like terms: -5x + -8x = -13x -40 + -13x = -4(3x + 8) Reorder the terms: -40 + -13x = -4(8 + 3x) -40 + -13x = (8 * -4 + 3x * -4) -40 + -13x = (-32 + -12x) Solving -40 + -13x = -32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -40 + -13x + 12x = -32 + -12x + 12x Combine like terms: -13x + 12x = -1x -40 + -1x = -32 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + -1x = -32 + 0 -40 + -1x = -32 Add '40' to each side of the equation. -40 + 40 + -1x = -32 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -32 + 40 -1x = -32 + 40 Combine like terms: -32 + 40 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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