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Simplifying 3x + 2x + x + 10x + 1c + 10c = 90 Reorder the terms: 1c + 10c + 3x + 2x + x + 10x = 90 Combine like terms: 1c + 10c = 11c 11c + 3x + 2x + x + 10x = 90 Combine like terms: 3x + 2x = 5x 11c + 5x + x + 10x = 90 Combine like terms: 5x + x = 6x 11c + 6x + 10x = 90 Combine like terms: 6x + 10x = 16x 11c + 16x = 90 Solving 11c + 16x = 90 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16x' to each side of the equation. 11c + 16x + -16x = 90 + -16x Combine like terms: 16x + -16x = 0 11c + 0 = 90 + -16x 11c = 90 + -16x Divide each side by '11'. c = 8.181818182 + -1.454545455x Simplifying c = 8.181818182 + -1.454545455x
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