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Simplifying 8 + 2x + 3 + -1c = 2x + 1 Reorder the terms: 8 + 3 + -1c + 2x = 2x + 1 Combine like terms: 8 + 3 = 11 11 + -1c + 2x = 2x + 1 Reorder the terms: 11 + -1c + 2x = 1 + 2x Add '-2x' to each side of the equation. 11 + -1c + 2x + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -1c + 0 = 1 + 2x + -2x 11 + -1c = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -1c = 1 + 0 11 + -1c = 1 Solving 11 + -1c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1c = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -1c = 1 + -11 -1c = 1 + -11 Combine like terms: 1 + -11 = -10 -1c = -10 Divide each side by '-1'. c = 10 Simplifying c = 10
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