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Simplifying 8(x + 6) + -5(x + 8) = 0 Reorder the terms: 8(6 + x) + -5(x + 8) = 0 (6 * 8 + x * 8) + -5(x + 8) = 0 (48 + 8x) + -5(x + 8) = 0 Reorder the terms: 48 + 8x + -5(8 + x) = 0 48 + 8x + (8 * -5 + x * -5) = 0 48 + 8x + (-40 + -5x) = 0 Reorder the terms: 48 + -40 + 8x + -5x = 0 Combine like terms: 48 + -40 = 8 8 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x 8 + 3x = 0 Solving 8 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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