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Simplifying 5x + 3(2 + 7x) = 5(5x + -8) 5x + (2 * 3 + 7x * 3) = 5(5x + -8) 5x + (6 + 21x) = 5(5x + -8) Reorder the terms: 6 + 5x + 21x = 5(5x + -8) Combine like terms: 5x + 21x = 26x 6 + 26x = 5(5x + -8) Reorder the terms: 6 + 26x = 5(-8 + 5x) 6 + 26x = (-8 * 5 + 5x * 5) 6 + 26x = (-40 + 25x) Solving 6 + 26x = -40 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 6 + 26x + -25x = -40 + 25x + -25x Combine like terms: 26x + -25x = 1x 6 + 1x = -40 + 25x + -25x Combine like terms: 25x + -25x = 0 6 + 1x = -40 + 0 6 + 1x = -40 Add '-6' to each side of the equation. 6 + -6 + 1x = -40 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -40 + -6 1x = -40 + -6 Combine like terms: -40 + -6 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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