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Simplifying -5(2x + -3) + 5(x + -8) = -65 Reorder the terms: -5(-3 + 2x) + 5(x + -8) = -65 (-3 * -5 + 2x * -5) + 5(x + -8) = -65 (15 + -10x) + 5(x + -8) = -65 Reorder the terms: 15 + -10x + 5(-8 + x) = -65 15 + -10x + (-8 * 5 + x * 5) = -65 15 + -10x + (-40 + 5x) = -65 Reorder the terms: 15 + -40 + -10x + 5x = -65 Combine like terms: 15 + -40 = -25 -25 + -10x + 5x = -65 Combine like terms: -10x + 5x = -5x -25 + -5x = -65 Solving -25 + -5x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -5x = -65 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = -65 + 25 -5x = -65 + 25 Combine like terms: -65 + 25 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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