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Simplifying 8(x + -5) + -6 = 26x + -90 Reorder the terms: 8(-5 + x) + -6 = 26x + -90 (-5 * 8 + x * 8) + -6 = 26x + -90 (-40 + 8x) + -6 = 26x + -90 Reorder the terms: -40 + -6 + 8x = 26x + -90 Combine like terms: -40 + -6 = -46 -46 + 8x = 26x + -90 Reorder the terms: -46 + 8x = -90 + 26x Solving -46 + 8x = -90 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -46 + 8x + -26x = -90 + 26x + -26x Combine like terms: 8x + -26x = -18x -46 + -18x = -90 + 26x + -26x Combine like terms: 26x + -26x = 0 -46 + -18x = -90 + 0 -46 + -18x = -90 Add '46' to each side of the equation. -46 + 46 + -18x = -90 + 46 Combine like terms: -46 + 46 = 0 0 + -18x = -90 + 46 -18x = -90 + 46 Combine like terms: -90 + 46 = -44 -18x = -44 Divide each side by '-18'. x = 2.444444444 Simplifying x = 2.444444444
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