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Simplifying 5(x + -8) + -1(4x + 2) = 0 Reorder the terms: 5(-8 + x) + -1(4x + 2) = 0 (-8 * 5 + x * 5) + -1(4x + 2) = 0 (-40 + 5x) + -1(4x + 2) = 0 Reorder the terms: -40 + 5x + -1(2 + 4x) = 0 -40 + 5x + (2 * -1 + 4x * -1) = 0 -40 + 5x + (-2 + -4x) = 0 Reorder the terms: -40 + -2 + 5x + -4x = 0 Combine like terms: -40 + -2 = -42 -42 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x -42 + 1x = 0 Solving -42 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 0 + 42 1x = 0 + 42 Combine like terms: 0 + 42 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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