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Simplifying 219c + -21(29 + -1x) = 912 + -1(4c + 4x) 219c + (29 * -21 + -1x * -21) = 912 + -1(4c + 4x) 219c + (-609 + 21x) = 912 + -1(4c + 4x) Reorder the terms: -609 + 219c + 21x = 912 + -1(4c + 4x) -609 + 219c + 21x = 912 + (4c * -1 + 4x * -1) -609 + 219c + 21x = 912 + (-4c + -4x) Solving -609 + 219c + 21x = 912 + -4c + -4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -609 + 219c + 4c + 21x = 912 + -4c + 4c + -4x Combine like terms: 219c + 4c = 223c -609 + 223c + 21x = 912 + -4c + 4c + -4x Combine like terms: -4c + 4c = 0 -609 + 223c + 21x = 912 + 0 + -4x -609 + 223c + 21x = 912 + -4x Add '609' to each side of the equation. -609 + 223c + 609 + 21x = 912 + 609 + -4x Reorder the terms: -609 + 609 + 223c + 21x = 912 + 609 + -4x Combine like terms: -609 + 609 = 0 0 + 223c + 21x = 912 + 609 + -4x 223c + 21x = 912 + 609 + -4x Combine like terms: 912 + 609 = 1521 223c + 21x = 1521 + -4x Add '-21x' to each side of the equation. 223c + 21x + -21x = 1521 + -4x + -21x Combine like terms: 21x + -21x = 0 223c + 0 = 1521 + -4x + -21x 223c = 1521 + -4x + -21x Combine like terms: -4x + -21x = -25x 223c = 1521 + -25x Divide each side by '223'. c = 6.820627803 + -0.1121076233x Simplifying c = 6.820627803 + -0.1121076233x
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