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Simplifying -8x + -5(x + 8) = -2(6x + 8) Reorder the terms: -8x + -5(8 + x) = -2(6x + 8) -8x + (8 * -5 + x * -5) = -2(6x + 8) -8x + (-40 + -5x) = -2(6x + 8) Reorder the terms: -40 + -8x + -5x = -2(6x + 8) Combine like terms: -8x + -5x = -13x -40 + -13x = -2(6x + 8) Reorder the terms: -40 + -13x = -2(8 + 6x) -40 + -13x = (8 * -2 + 6x * -2) -40 + -13x = (-16 + -12x) Solving -40 + -13x = -16 + -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 = -16 + -12x + 12x Combine like terms: -13x + 12x = -1x -40 + -1x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 -40 + -1x = -16 + 0 -40 + -1x = -16 Add '40' to each side of the equation. -40 + 40 + -1x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -16 + 40 -1x = -16 + 40 Combine like terms: -16 + 40 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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