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Simplifying 3(x + -2) + 5(x + -7) = 60 Reorder the terms: 3(-2 + x) + 5(x + -7) = 60 (-2 * 3 + x * 3) + 5(x + -7) = 60 (-6 + 3x) + 5(x + -7) = 60 Reorder the terms: -6 + 3x + 5(-7 + x) = 60 -6 + 3x + (-7 * 5 + x * 5) = 60 -6 + 3x + (-35 + 5x) = 60 Reorder the terms: -6 + -35 + 3x + 5x = 60 Combine like terms: -6 + -35 = -41 -41 + 3x + 5x = 60 Combine like terms: 3x + 5x = 8x -41 + 8x = 60 Solving -41 + 8x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 8x = 60 + 41 Combine like terms: -41 + 41 = 0 0 + 8x = 60 + 41 8x = 60 + 41 Combine like terms: 60 + 41 = 101 8x = 101 Divide each side by '8'. x = 12.625 Simplifying x = 12.625
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