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Simplifying 2(5x + -25) = 10(x + -1f) Reorder the terms: 2(-25 + 5x) = 10(x + -1f) (-25 * 2 + 5x * 2) = 10(x + -1f) (-50 + 10x) = 10(x + -1f) Reorder the terms: -50 + 10x = 10(-1f + x) -50 + 10x = (-1f * 10 + x * 10) -50 + 10x = (-10f + 10x) Add '-10x' to each side of the equation. -50 + 10x + -10x = -10f + 10x + -10x Combine like terms: 10x + -10x = 0 -50 + 0 = -10f + 10x + -10x -50 = -10f + 10x + -10x Combine like terms: 10x + -10x = 0 -50 = -10f + 0 -50 = -10f Solving -50 = -10f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '10f' to each side of the equation. -50 + 10f = -10f + 10f Combine like terms: -10f + 10f = 0 -50 + 10f = 0 Add '50' to each side of the equation. -50 + 50 + 10f = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 10f = 0 + 50 10f = 0 + 50 Combine like terms: 0 + 50 = 50 10f = 50 Divide each side by '10'. f = 5 Simplifying f = 5
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