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Simplifying 5(5x + -8) + -3(-1 + -8x) = 35 + 50x Reorder the terms: 5(-8 + 5x) + -3(-1 + -8x) = 35 + 50x (-8 * 5 + 5x * 5) + -3(-1 + -8x) = 35 + 50x (-40 + 25x) + -3(-1 + -8x) = 35 + 50x -40 + 25x + (-1 * -3 + -8x * -3) = 35 + 50x -40 + 25x + (3 + 24x) = 35 + 50x Reorder the terms: -40 + 3 + 25x + 24x = 35 + 50x Combine like terms: -40 + 3 = -37 -37 + 25x + 24x = 35 + 50x Combine like terms: 25x + 24x = 49x -37 + 49x = 35 + 50x Solving -37 + 49x = 35 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -37 + 49x + -50x = 35 + 50x + -50x Combine like terms: 49x + -50x = -1x -37 + -1x = 35 + 50x + -50x Combine like terms: 50x + -50x = 0 -37 + -1x = 35 + 0 -37 + -1x = 35 Add '37' to each side of the equation. -37 + 37 + -1x = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -1x = 35 + 37 -1x = 35 + 37 Combine like terms: 35 + 37 = 72 -1x = 72 Divide each side by '-1'. x = -72 Simplifying x = -72
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