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Simplifying 27 + -4x = -5 + -8(5x + 5) Reorder the terms: 27 + -4x = -5 + -8(5 + 5x) 27 + -4x = -5 + (5 * -8 + 5x * -8) 27 + -4x = -5 + (-40 + -40x) Combine like terms: -5 + -40 = -45 27 + -4x = -45 + -40x Solving 27 + -4x = -45 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 27 + -4x + 40x = -45 + -40x + 40x Combine like terms: -4x + 40x = 36x 27 + 36x = -45 + -40x + 40x Combine like terms: -40x + 40x = 0 27 + 36x = -45 + 0 27 + 36x = -45 Add '-27' to each side of the equation. 27 + -27 + 36x = -45 + -27 Combine like terms: 27 + -27 = 0 0 + 36x = -45 + -27 36x = -45 + -27 Combine like terms: -45 + -27 = -72 36x = -72 Divide each side by '36'. x = -2 Simplifying x = -2
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