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Simplifying 8(x + -5) + -1(2 + 7x) = 4 Reorder the terms: 8(-5 + x) + -1(2 + 7x) = 4 (-5 * 8 + x * 8) + -1(2 + 7x) = 4 (-40 + 8x) + -1(2 + 7x) = 4 -40 + 8x + (2 * -1 + 7x * -1) = 4 -40 + 8x + (-2 + -7x) = 4 Reorder the terms: -40 + -2 + 8x + -7x = 4 Combine like terms: -40 + -2 = -42 -42 + 8x + -7x = 4 Combine like terms: 8x + -7x = 1x -42 + 1x = 4 Solving -42 + 1x = 4 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 = 4 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 4 + 42 1x = 4 + 42 Combine like terms: 4 + 42 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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