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Simplifying f(x) = 1.5x + 3(x + -2) + 4.5(x + 7) Multiply f * x fx = 1.5x + 3(x + -2) + 4.5(x + 7) Reorder the terms: fx = 1.5x + 3(-2 + x) + 4.5(x + 7) fx = 1.5x + (-2 * 3 + x * 3) + 4.5(x + 7) fx = 1.5x + (-6 + 3x) + 4.5(x + 7) Reorder the terms: fx = 1.5x + -6 + 3x + 4.5(7 + x) fx = 1.5x + -6 + 3x + (7 * 4.5 + x * 4.5) fx = 1.5x + -6 + 3x + (31.5 + 4.5x) Reorder the terms: fx = -6 + 31.5 + 1.5x + 3x + 4.5x Combine like terms: -6 + 31.5 = 25.5 fx = 25.5 + 1.5x + 3x + 4.5x Combine like terms: 1.5x + 3x = 4.5x fx = 25.5 + 4.5x + 4.5x Combine like terms: 4.5x + 4.5x = 9x fx = 25.5 + 9x Solving fx = 25.5 + 9x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 25.5x-1 + 9 Simplifying f = 25.5x-1 + 9 Reorder the terms: f = 9 + 25.5x-1
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