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Simplifying (x + -7.5) + 2(x + -7.5) = 828.5 Reorder the terms: (-7.5 + x) + 2(x + -7.5) = 828.5 Remove parenthesis around (-7.5 + x) -7.5 + x + 2(x + -7.5) = 828.5 Reorder the terms: -7.5 + x + 2(-7.5 + x) = 828.5 -7.5 + x + (-7.5 * 2 + x * 2) = 828.5 -7.5 + x + (-15 + 2x) = 828.5 Reorder the terms: -7.5 + -15 + x + 2x = 828.5 Combine like terms: -7.5 + -15 = -22.5 -22.5 + x + 2x = 828.5 Combine like terms: x + 2x = 3x -22.5 + 3x = 828.5 Solving -22.5 + 3x = 828.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.5' to each side of the equation. -22.5 + 22.5 + 3x = 828.5 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + 3x = 828.5 + 22.5 3x = 828.5 + 22.5 Combine like terms: 828.5 + 22.5 = 851 3x = 851 Divide each side by '3'. x = 283.6666667 Simplifying x = 283.6666667
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