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Simplifying 7x + 3x + -1(10x + 2) = 5 + c Reorder the terms: 7x + 3x + -1(2 + 10x) = 5 + c 7x + 3x + (2 * -1 + 10x * -1) = 5 + c 7x + 3x + (-2 + -10x) = 5 + c Reorder the terms: -2 + 7x + 3x + -10x = 5 + c Combine like terms: 7x + 3x = 10x -2 + 10x + -10x = 5 + c Combine like terms: 10x + -10x = 0 -2 + 0 = 5 + c -2 = 5 + c Solving -2 = 5 + 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. -2 + -1c = 5 + c + -1c Combine like terms: c + -1c = 0 -2 + -1c = 5 + 0 -2 + -1c = 5 Add '2' to each side of the equation. -2 + 2 + -1c = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 5 + 2 -1c = 5 + 2 Combine like terms: 5 + 2 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7
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