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Simplifying 2x + 5(0.5x + -8) = -13 Reorder the terms: 2x + 5(-8 + 0.5x) = -13 2x + (-8 * 5 + 0.5x * 5) = -13 2x + (-40 + 2.5x) = -13 Reorder the terms: -40 + 2x + 2.5x = -13 Combine like terms: 2x + 2.5x = 4.5x -40 + 4.5x = -13 Solving -40 + 4.5x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 4.5x = -13 + 40 Combine like terms: -40 + 40 = 0 0 + 4.5x = -13 + 40 4.5x = -13 + 40 Combine like terms: -13 + 40 = 27 4.5x = 27 Divide each side by '4.5'. x = 6 Simplifying x = 6
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