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Simplifying 8 + -5(8 + -1x) = -3(-2x + 8) 8 + (8 * -5 + -1x * -5) = -3(-2x + 8) 8 + (-40 + 5x) = -3(-2x + 8) Combine like terms: 8 + -40 = -32 -32 + 5x = -3(-2x + 8) Reorder the terms: -32 + 5x = -3(8 + -2x) -32 + 5x = (8 * -3 + -2x * -3) -32 + 5x = (-24 + 6x) Solving -32 + 5x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 5x + -6x = -24 + 6x + -6x Combine like terms: 5x + -6x = -1x -32 + -1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -1x = -24 + 0 -32 + -1x = -24 Add '32' to each side of the equation. -32 + 32 + -1x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -24 + 32 -1x = -24 + 32 Combine like terms: -24 + 32 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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