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Simplifying ifx + -4(x + -5) = 9(x + 1) + -7 Reorder the terms: fix + -4(-5 + x) = 9(x + 1) + -7 fix + (-5 * -4 + x * -4) = 9(x + 1) + -7 fix + (20 + -4x) = 9(x + 1) + -7 Reorder the terms: 20 + fix + -4x = 9(x + 1) + -7 Reorder the terms: 20 + fix + -4x = 9(1 + x) + -7 20 + fix + -4x = (1 * 9 + x * 9) + -7 20 + fix + -4x = (9 + 9x) + -7 Reorder the terms: 20 + fix + -4x = 9 + -7 + 9x Combine like terms: 9 + -7 = 2 20 + fix + -4x = 2 + 9x Solving 20 + fix + -4x = 2 + 9x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + fix + -20 + -4x = 2 + -20 + 9x Reorder the terms: 20 + -20 + fix + -4x = 2 + -20 + 9x Combine like terms: 20 + -20 = 0 0 + fix + -4x = 2 + -20 + 9x fix + -4x = 2 + -20 + 9x Combine like terms: 2 + -20 = -18 fix + -4x = -18 + 9x Add '4x' to each side of the equation. fix + -4x + 4x = -18 + 9x + 4x Combine like terms: -4x + 4x = 0 fix + 0 = -18 + 9x + 4x fix = -18 + 9x + 4x Combine like terms: 9x + 4x = 13x fix = -18 + 13x Divide each side by 'ix'. f = -18i-1x-1 + 13i-1 Simplifying f = -18i-1x-1 + 13i-1 Reorder the terms: f = 13i-1 + -18i-1x-1
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