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Simplifying 10c + -5x + 3d + -1(-2d) = 0 Remove parenthesis around (-2d) 10c + -5x + 3d + -1 * -2d = 0 Multiply -1 * -2 10c + -5x + 3d + 2d = 0 Reorder the terms: 10c + 3d + 2d + -5x = 0 Combine like terms: 3d + 2d = 5d 10c + 5d + -5x = 0 Solving 10c + 5d + -5x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 10c + 5d + -5d + -5x = 0 + -5d Combine like terms: 5d + -5d = 0 10c + 0 + -5x = 0 + -5d 10c + -5x = 0 + -5d Remove the zero: 10c + -5x = -5d Add '5x' to each side of the equation. 10c + -5x + 5x = -5d + 5x Combine like terms: -5x + 5x = 0 10c + 0 = -5d + 5x 10c = -5d + 5x Divide each side by '10'. c = -0.5d + 0.5x Simplifying c = -0.5d + 0.5x
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