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Simplifying 8(x + -5) + 1 = -4(x + 4) Reorder the terms: 8(-5 + x) + 1 = -4(x + 4) (-5 * 8 + x * 8) + 1 = -4(x + 4) (-40 + 8x) + 1 = -4(x + 4) Reorder the terms: -40 + 1 + 8x = -4(x + 4) Combine like terms: -40 + 1 = -39 -39 + 8x = -4(x + 4) Reorder the terms: -39 + 8x = -4(4 + x) -39 + 8x = (4 * -4 + x * -4) -39 + 8x = (-16 + -4x) Solving -39 + 8x = -16 + -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. -39 + 8x + 4x = -16 + -4x + 4x Combine like terms: 8x + 4x = 12x -39 + 12x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -39 + 12x = -16 + 0 -39 + 12x = -16 Add '39' to each side of the equation. -39 + 39 + 12x = -16 + 39 Combine like terms: -39 + 39 = 0 0 + 12x = -16 + 39 12x = -16 + 39 Combine like terms: -16 + 39 = 23 12x = 23 Divide each side by '12'. x = 1.916666667 Simplifying x = 1.916666667
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