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Simplifying 53 + -1(2c + 4) = 4(c + 7) + 3 Reorder the terms: 53 + -1(4 + 2c) = 4(c + 7) + 3 53 + (4 * -1 + 2c * -1) = 4(c + 7) + 3 53 + (-4 + -2c) = 4(c + 7) + 3 Combine like terms: 53 + -4 = 49 49 + -2c = 4(c + 7) + 3 Reorder the terms: 49 + -2c = 4(7 + c) + 3 49 + -2c = (7 * 4 + c * 4) + 3 49 + -2c = (28 + 4c) + 3 Reorder the terms: 49 + -2c = 28 + 3 + 4c Combine like terms: 28 + 3 = 31 49 + -2c = 31 + 4c Solving 49 + -2c = 31 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 49 + -2c + -4c = 31 + 4c + -4c Combine like terms: -2c + -4c = -6c 49 + -6c = 31 + 4c + -4c Combine like terms: 4c + -4c = 0 49 + -6c = 31 + 0 49 + -6c = 31 Add '-49' to each side of the equation. 49 + -49 + -6c = 31 + -49 Combine like terms: 49 + -49 = 0 0 + -6c = 31 + -49 -6c = 31 + -49 Combine like terms: 31 + -49 = -18 -6c = -18 Divide each side by '-6'. c = 3 Simplifying c = 3
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