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Simplifying 4(2x + -1) = -8(5 + x) Reorder the terms: 4(-1 + 2x) = -8(5 + x) (-1 * 4 + 2x * 4) = -8(5 + x) (-4 + 8x) = -8(5 + x) -4 + 8x = (5 * -8 + x * -8) -4 + 8x = (-40 + -8x) Solving -4 + 8x = -40 + -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. -4 + 8x + 8x = -40 + -8x + 8x Combine like terms: 8x + 8x = 16x -4 + 16x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 16x = -40 + 0 -4 + 16x = -40 Add '4' to each side of the equation. -4 + 4 + 16x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = -40 + 4 16x = -40 + 4 Combine like terms: -40 + 4 = -36 16x = -36 Divide each side by '16'. x = -2.25 Simplifying x = -2.25
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