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Simplifying 5(x + -8) + -3(4x + 5) = 0 Reorder the terms: 5(-8 + x) + -3(4x + 5) = 0 (-8 * 5 + x * 5) + -3(4x + 5) = 0 (-40 + 5x) + -3(4x + 5) = 0 Reorder the terms: -40 + 5x + -3(5 + 4x) = 0 -40 + 5x + (5 * -3 + 4x * -3) = 0 -40 + 5x + (-15 + -12x) = 0 Reorder the terms: -40 + -15 + 5x + -12x = 0 Combine like terms: -40 + -15 = -55 -55 + 5x + -12x = 0 Combine like terms: 5x + -12x = -7x -55 + -7x = 0 Solving -55 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -7x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -7x = 0 + 55 -7x = 0 + 55 Combine like terms: 0 + 55 = 55 -7x = 55 Divide each side by '-7'. x = -7.857142857 Simplifying x = -7.857142857
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