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Simplifying 5(23x + 51) = 10(9x + 18) Reorder the terms: 5(51 + 23x) = 10(9x + 18) (51 * 5 + 23x * 5) = 10(9x + 18) (255 + 115x) = 10(9x + 18) Reorder the terms: 255 + 115x = 10(18 + 9x) 255 + 115x = (18 * 10 + 9x * 10) 255 + 115x = (180 + 90x) Solving 255 + 115x = 180 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 255 + 115x + -90x = 180 + 90x + -90x Combine like terms: 115x + -90x = 25x 255 + 25x = 180 + 90x + -90x Combine like terms: 90x + -90x = 0 255 + 25x = 180 + 0 255 + 25x = 180 Add '-255' to each side of the equation. 255 + -255 + 25x = 180 + -255 Combine like terms: 255 + -255 = 0 0 + 25x = 180 + -255 25x = 180 + -255 Combine like terms: 180 + -255 = -75 25x = -75 Divide each side by '25'. x = -3 Simplifying x = -3
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