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Simplifying 4(5x + -13) + -8(2x + 5) = 0 Reorder the terms: 4(-13 + 5x) + -8(2x + 5) = 0 (-13 * 4 + 5x * 4) + -8(2x + 5) = 0 (-52 + 20x) + -8(2x + 5) = 0 Reorder the terms: -52 + 20x + -8(5 + 2x) = 0 -52 + 20x + (5 * -8 + 2x * -8) = 0 -52 + 20x + (-40 + -16x) = 0 Reorder the terms: -52 + -40 + 20x + -16x = 0 Combine like terms: -52 + -40 = -92 -92 + 20x + -16x = 0 Combine like terms: 20x + -16x = 4x -92 + 4x = 0 Solving -92 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + 4x = 0 + 92 Combine like terms: -92 + 92 = 0 0 + 4x = 0 + 92 4x = 0 + 92 Combine like terms: 0 + 92 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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