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Simplifying 5(x + -1) + 3(2 + -1c) = 0 Reorder the terms: 5(-1 + x) + 3(2 + -1c) = 0 (-1 * 5 + x * 5) + 3(2 + -1c) = 0 (-5 + 5x) + 3(2 + -1c) = 0 -5 + 5x + (2 * 3 + -1c * 3) = 0 -5 + 5x + (6 + -3c) = 0 Reorder the terms: -5 + 6 + -3c + 5x = 0 Combine like terms: -5 + 6 = 1 1 + -3c + 5x = 0 Solving 1 + -3c + 5x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3c + -1 + 5x = 0 + -1 Reorder the terms: 1 + -1 + -3c + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3c + 5x = 0 + -1 -3c + 5x = 0 + -1 Combine like terms: 0 + -1 = -1 -3c + 5x = -1 Add '-5x' to each side of the equation. -3c + 5x + -5x = -1 + -5x Combine like terms: 5x + -5x = 0 -3c + 0 = -1 + -5x -3c = -1 + -5x Divide each side by '-3'. c = 0.3333333333 + 1.666666667x Simplifying c = 0.3333333333 + 1.666666667x
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