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Simplifying H(x) = (3x + 10) + -1(-5x + 200) Multiply H * x xH = (3x + 10) + -1(-5x + 200) Reorder the terms: xH = (10 + 3x) + -1(-5x + 200) Remove parenthesis around (10 + 3x) xH = 10 + 3x + -1(-5x + 200) Reorder the terms: xH = 10 + 3x + -1(200 + -5x) xH = 10 + 3x + (200 * -1 + -5x * -1) xH = 10 + 3x + (-200 + 5x) Reorder the terms: xH = 10 + -200 + 3x + 5x Combine like terms: 10 + -200 = -190 xH = -190 + 3x + 5x Combine like terms: 3x + 5x = 8x xH = -190 + 8x Solving xH = -190 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8x + xH = -190 + 8x + -8x Combine like terms: 8x + -8x = 0 -8x + xH = -190 + 0 -8x + xH = -190 Reorder the terms: 190 + -8x + xH = -190 + 190 Combine like terms: -190 + 190 = 0 190 + -8x + xH = 0 The solution to this equation could not be determined.
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