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Simplifying H(x) = (3x + 10) + (-5x + 200) Multiply H * x xH = (3x + 10) + (-5x + 200) Reorder the terms: xH = (10 + 3x) + (-5x + 200) Remove parenthesis around (10 + 3x) xH = 10 + 3x + (-5x + 200) Reorder the terms: xH = 10 + 3x + (200 + -5x) Remove parenthesis around (200 + -5x) xH = 10 + 3x + 200 + -5x Reorder the terms: xH = 10 + 200 + 3x + -5x Combine like terms: 10 + 200 = 210 xH = 210 + 3x + -5x Combine like terms: 3x + -5x = -2x xH = 210 + -2x Solving xH = 210 + -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. 2x + xH = 210 + -2x + 2x Combine like terms: -2x + 2x = 0 2x + xH = 210 + 0 2x + xH = 210 Reorder the terms: -210 + 2x + xH = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + 2x + xH = 0 The solution to this equation could not be determined.
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