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Simplifying 760(x + -40) = 210(x + 70) Reorder the terms: 760(-40 + x) = 210(x + 70) (-40 * 760 + x * 760) = 210(x + 70) (-30400 + 760x) = 210(x + 70) Reorder the terms: -30400 + 760x = 210(70 + x) -30400 + 760x = (70 * 210 + x * 210) -30400 + 760x = (14700 + 210x) Solving -30400 + 760x = 14700 + 210x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-210x' to each side of the equation. -30400 + 760x + -210x = 14700 + 210x + -210x Combine like terms: 760x + -210x = 550x -30400 + 550x = 14700 + 210x + -210x Combine like terms: 210x + -210x = 0 -30400 + 550x = 14700 + 0 -30400 + 550x = 14700 Add '30400' to each side of the equation. -30400 + 30400 + 550x = 14700 + 30400 Combine like terms: -30400 + 30400 = 0 0 + 550x = 14700 + 30400 550x = 14700 + 30400 Combine like terms: 14700 + 30400 = 45100 550x = 45100 Divide each side by '550'. x = 82 Simplifying x = 82
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