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Simplifying 8(x + -5) + -1(7x + 9) = -2 Reorder the terms: 8(-5 + x) + -1(7x + 9) = -2 (-5 * 8 + x * 8) + -1(7x + 9) = -2 (-40 + 8x) + -1(7x + 9) = -2 Reorder the terms: -40 + 8x + -1(9 + 7x) = -2 -40 + 8x + (9 * -1 + 7x * -1) = -2 -40 + 8x + (-9 + -7x) = -2 Reorder the terms: -40 + -9 + 8x + -7x = -2 Combine like terms: -40 + -9 = -49 -49 + 8x + -7x = -2 Combine like terms: 8x + -7x = 1x -49 + 1x = -2 Solving -49 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 1x = -2 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = -2 + 49 1x = -2 + 49 Combine like terms: -2 + 49 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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