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Simplifying 21(c + 4) + -6x = 2x + 84 Reorder the terms: 21(4 + c) + -6x = 2x + 84 (4 * 21 + c * 21) + -6x = 2x + 84 (84 + 21c) + -6x = 2x + 84 Reorder the terms: 84 + 21c + -6x = 84 + 2x Add '-84' to each side of the equation. 84 + 21c + -84 + -6x = 84 + -84 + 2x Reorder the terms: 84 + -84 + 21c + -6x = 84 + -84 + 2x Combine like terms: 84 + -84 = 0 0 + 21c + -6x = 84 + -84 + 2x 21c + -6x = 84 + -84 + 2x Combine like terms: 84 + -84 = 0 21c + -6x = 0 + 2x 21c + -6x = 2x Solving 21c + -6x = 2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6x' to each side of the equation. 21c + -6x + 6x = 2x + 6x Combine like terms: -6x + 6x = 0 21c + 0 = 2x + 6x 21c = 2x + 6x Combine like terms: 2x + 6x = 8x 21c = 8x Divide each side by '21'. c = 0.380952381x Simplifying c = 0.380952381x
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