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Simplifying 5(5x + 46) = 2(x + 92) Reorder the terms: 5(46 + 5x) = 2(x + 92) (46 * 5 + 5x * 5) = 2(x + 92) (230 + 25x) = 2(x + 92) Reorder the terms: 230 + 25x = 2(92 + x) 230 + 25x = (92 * 2 + x * 2) 230 + 25x = (184 + 2x) Solving 230 + 25x = 184 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 230 + 25x + -2x = 184 + 2x + -2x Combine like terms: 25x + -2x = 23x 230 + 23x = 184 + 2x + -2x Combine like terms: 2x + -2x = 0 230 + 23x = 184 + 0 230 + 23x = 184 Add '-230' to each side of the equation. 230 + -230 + 23x = 184 + -230 Combine like terms: 230 + -230 = 0 0 + 23x = 184 + -230 23x = 184 + -230 Combine like terms: 184 + -230 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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