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Simplifying 4c + -1(9 + -3x) = 8x + -1 4c + (9 * -1 + -3x * -1) = 8x + -1 4c + (-9 + 3x) = 8x + -1 Reorder the terms: -9 + 4c + 3x = 8x + -1 Reorder the terms: -9 + 4c + 3x = -1 + 8x Solving -9 + 4c + 3x = -1 + 8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4c + 9 + 3x = -1 + 9 + 8x Reorder the terms: -9 + 9 + 4c + 3x = -1 + 9 + 8x Combine like terms: -9 + 9 = 0 0 + 4c + 3x = -1 + 9 + 8x 4c + 3x = -1 + 9 + 8x Combine like terms: -1 + 9 = 8 4c + 3x = 8 + 8x Add '-3x' to each side of the equation. 4c + 3x + -3x = 8 + 8x + -3x Combine like terms: 3x + -3x = 0 4c + 0 = 8 + 8x + -3x 4c = 8 + 8x + -3x Combine like terms: 8x + -3x = 5x 4c = 8 + 5x Divide each side by '4'. c = 2 + 1.25x Simplifying c = 2 + 1.25x
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