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Simplifying 2(x + 5) = 2(x + 3) + c Reorder the terms: 2(5 + x) = 2(x + 3) + c (5 * 2 + x * 2) = 2(x + 3) + c (10 + 2x) = 2(x + 3) + c Reorder the terms: 10 + 2x = 2(3 + x) + c 10 + 2x = (3 * 2 + x * 2) + c 10 + 2x = (6 + 2x) + c Reorder the terms: 10 + 2x = 6 + c + 2x Add '-2x' to each side of the equation. 10 + 2x + -2x = 6 + c + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0 = 6 + c + 2x + -2x 10 = 6 + c + 2x + -2x Combine like terms: 2x + -2x = 0 10 = 6 + c + 0 10 = 6 + c Solving 10 = 6 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 10 + -1c = 6 + c + -1c Combine like terms: c + -1c = 0 10 + -1c = 6 + 0 10 + -1c = 6 Add '-10' to each side of the equation. 10 + -10 + -1c = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -1c = 6 + -10 -1c = 6 + -10 Combine like terms: 6 + -10 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4
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