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Simplifying 5(x + -8) + -5 = 26x + -150 Reorder the terms: 5(-8 + x) + -5 = 26x + -150 (-8 * 5 + x * 5) + -5 = 26x + -150 (-40 + 5x) + -5 = 26x + -150 Reorder the terms: -40 + -5 + 5x = 26x + -150 Combine like terms: -40 + -5 = -45 -45 + 5x = 26x + -150 Reorder the terms: -45 + 5x = -150 + 26x Solving -45 + 5x = -150 + 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. -45 + 5x + -26x = -150 + 26x + -26x Combine like terms: 5x + -26x = -21x -45 + -21x = -150 + 26x + -26x Combine like terms: 26x + -26x = 0 -45 + -21x = -150 + 0 -45 + -21x = -150 Add '45' to each side of the equation. -45 + 45 + -21x = -150 + 45 Combine like terms: -45 + 45 = 0 0 + -21x = -150 + 45 -21x = -150 + 45 Combine like terms: -150 + 45 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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