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Simplifying (8x + -7) + (35x + 20) = 400 Reorder the terms: (-7 + 8x) + (35x + 20) = 400 Remove parenthesis around (-7 + 8x) -7 + 8x + (35x + 20) = 400 Reorder the terms: -7 + 8x + (20 + 35x) = 400 Remove parenthesis around (20 + 35x) -7 + 8x + 20 + 35x = 400 Reorder the terms: -7 + 20 + 8x + 35x = 400 Combine like terms: -7 + 20 = 13 13 + 8x + 35x = 400 Combine like terms: 8x + 35x = 43x 13 + 43x = 400 Solving 13 + 43x = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 43x = 400 + -13 Combine like terms: 13 + -13 = 0 0 + 43x = 400 + -13 43x = 400 + -13 Combine like terms: 400 + -13 = 387 43x = 387 Divide each side by '43'. x = 9 Simplifying x = 9
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