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Simplifying x + -1(5 + -3c) = 7x + 4 x + (5 * -1 + -3c * -1) = 7x + 4 x + (-5 + 3c) = 7x + 4 Reorder the terms: -5 + 3c + x = 7x + 4 Reorder the terms: -5 + 3c + x = 4 + 7x Solving -5 + 3c + x = 4 + 7x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3c + 5 + x = 4 + 5 + 7x Reorder the terms: -5 + 5 + 3c + x = 4 + 5 + 7x Combine like terms: -5 + 5 = 0 0 + 3c + x = 4 + 5 + 7x 3c + x = 4 + 5 + 7x Combine like terms: 4 + 5 = 9 3c + x = 9 + 7x Add '-1x' to each side of the equation. 3c + x + -1x = 9 + 7x + -1x Combine like terms: x + -1x = 0 3c + 0 = 9 + 7x + -1x 3c = 9 + 7x + -1x Combine like terms: 7x + -1x = 6x 3c = 9 + 6x Divide each side by '3'. c = 3 + 2x Simplifying c = 3 + 2x
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