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Simplifying h(x) = (3x + -1) + -1(12x + 2) Multiply h * x hx = (3x + -1) + -1(12x + 2) Reorder the terms: hx = (-1 + 3x) + -1(12x + 2) Remove parenthesis around (-1 + 3x) hx = -1 + 3x + -1(12x + 2) Reorder the terms: hx = -1 + 3x + -1(2 + 12x) hx = -1 + 3x + (2 * -1 + 12x * -1) hx = -1 + 3x + (-2 + -12x) Reorder the terms: hx = -1 + -2 + 3x + -12x Combine like terms: -1 + -2 = -3 hx = -3 + 3x + -12x Combine like terms: 3x + -12x = -9x hx = -3 + -9x Solving hx = -3 + -9x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 'x'. h = -3x-1 + -9 Simplifying h = -3x-1 + -9 Reorder the terms: h = -9 + -3x-1
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