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Simplifying 5c + 11 + 4x + -17 + -16x + 8 + 31 = 34 + -2x Reorder the terms: 11 + -17 + 8 + 31 + 5c + 4x + -16x = 34 + -2x Combine like terms: 11 + -17 = -6 -6 + 8 + 31 + 5c + 4x + -16x = 34 + -2x Combine like terms: -6 + 8 = 2 2 + 31 + 5c + 4x + -16x = 34 + -2x Combine like terms: 2 + 31 = 33 33 + 5c + 4x + -16x = 34 + -2x Combine like terms: 4x + -16x = -12x 33 + 5c + -12x = 34 + -2x Solving 33 + 5c + -12x = 34 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 5c + -33 + -12x = 34 + -33 + -2x Reorder the terms: 33 + -33 + 5c + -12x = 34 + -33 + -2x Combine like terms: 33 + -33 = 0 0 + 5c + -12x = 34 + -33 + -2x 5c + -12x = 34 + -33 + -2x Combine like terms: 34 + -33 = 1 5c + -12x = 1 + -2x Add '12x' to each side of the equation. 5c + -12x + 12x = 1 + -2x + 12x Combine like terms: -12x + 12x = 0 5c + 0 = 1 + -2x + 12x 5c = 1 + -2x + 12x Combine like terms: -2x + 12x = 10x 5c = 1 + 10x Divide each side by '5'. c = 0.2 + 2x Simplifying c = 0.2 + 2x
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