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Simplifying 5(x + -8) + 4(x + -8) = 27 Reorder the terms: 5(-8 + x) + 4(x + -8) = 27 (-8 * 5 + x * 5) + 4(x + -8) = 27 (-40 + 5x) + 4(x + -8) = 27 Reorder the terms: -40 + 5x + 4(-8 + x) = 27 -40 + 5x + (-8 * 4 + x * 4) = 27 -40 + 5x + (-32 + 4x) = 27 Reorder the terms: -40 + -32 + 5x + 4x = 27 Combine like terms: -40 + -32 = -72 -72 + 5x + 4x = 27 Combine like terms: 5x + 4x = 9x -72 + 9x = 27 Solving -72 + 9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 9x = 27 + 72 Combine like terms: -72 + 72 = 0 0 + 9x = 27 + 72 9x = 27 + 72 Combine like terms: 27 + 72 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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