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Simplifying 2(x + 9) + -1c = x + 5 + x Reorder the terms: 2(9 + x) + -1c = x + 5 + x (9 * 2 + x * 2) + -1c = x + 5 + x (18 + 2x) + -1c = x + 5 + x Reorder the terms: 18 + -1c + 2x = x + 5 + x Reorder the terms: 18 + -1c + 2x = 5 + x + x Combine like terms: x + x = 2x 18 + -1c + 2x = 5 + 2x Add '-2x' to each side of the equation. 18 + -1c + 2x + -2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -1c + 0 = 5 + 2x + -2x 18 + -1c = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -1c = 5 + 0 18 + -1c = 5 Solving 18 + -1c = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1c = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -1c = 5 + -18 -1c = 5 + -18 Combine like terms: 5 + -18 = -13 -1c = -13 Divide each side by '-1'. c = 13 Simplifying c = 13
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