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Simplifying 5x + -6 + f + -1(6x + 4) = 7x + 4(4x + 8) Reorder the terms: 5x + -6 + f + -1(4 + 6x) = 7x + 4(4x + 8) 5x + -6 + f + (4 * -1 + 6x * -1) = 7x + 4(4x + 8) 5x + -6 + f + (-4 + -6x) = 7x + 4(4x + 8) Reorder the terms: -6 + -4 + f + 5x + -6x = 7x + 4(4x + 8) Combine like terms: -6 + -4 = -10 -10 + f + 5x + -6x = 7x + 4(4x + 8) Combine like terms: 5x + -6x = -1x -10 + f + -1x = 7x + 4(4x + 8) Reorder the terms: -10 + f + -1x = 7x + 4(8 + 4x) -10 + f + -1x = 7x + (8 * 4 + 4x * 4) -10 + f + -1x = 7x + (32 + 16x) Reorder the terms: -10 + f + -1x = 32 + 7x + 16x Combine like terms: 7x + 16x = 23x -10 + f + -1x = 32 + 23x Solving -10 + f + -1x = 32 + 23x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '10' to each side of the equation. -10 + f + 10 + -1x = 32 + 10 + 23x Reorder the terms: -10 + 10 + f + -1x = 32 + 10 + 23x Combine like terms: -10 + 10 = 0 0 + f + -1x = 32 + 10 + 23x f + -1x = 32 + 10 + 23x Combine like terms: 32 + 10 = 42 f + -1x = 42 + 23x Add 'x' to each side of the equation. f + -1x + x = 42 + 23x + x Combine like terms: -1x + x = 0 f + 0 = 42 + 23x + x f = 42 + 23x + x Combine like terms: 23x + x = 24x f = 42 + 24x Simplifying f = 42 + 24x
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