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Simplifying 8x + 4 = 5 + -5(x + 8) Reorder the terms: 4 + 8x = 5 + -5(x + 8) Reorder the terms: 4 + 8x = 5 + -5(8 + x) 4 + 8x = 5 + (8 * -5 + x * -5) 4 + 8x = 5 + (-40 + -5x) Combine like terms: 5 + -40 = -35 4 + 8x = -35 + -5x Solving 4 + 8x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 8x + 5x = -35 + -5x + 5x Combine like terms: 8x + 5x = 13x 4 + 13x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 13x = -35 + 0 4 + 13x = -35 Add '-4' to each side of the equation. 4 + -4 + 13x = -35 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = -35 + -4 13x = -35 + -4 Combine like terms: -35 + -4 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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