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Simplifying 2(5x) + 3c + 4(x + c) = 0 Remove parenthesis around (5x) 2 * 5x + 3c + 4(x + c) = 0 Multiply 2 * 5 10x + 3c + 4(x + c) = 0 Reorder the terms: 10x + 3c + 4(c + x) = 0 10x + 3c + (c * 4 + x * 4) = 0 10x + 3c + (4c + 4x) = 0 Reorder the terms: 3c + 4c + 10x + 4x = 0 Combine like terms: 3c + 4c = 7c 7c + 10x + 4x = 0 Combine like terms: 10x + 4x = 14x 7c + 14x = 0 Solving 7c + 14x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14x' to each side of the equation. 7c + 14x + -14x = 0 + -14x Combine like terms: 14x + -14x = 0 7c + 0 = 0 + -14x 7c = 0 + -14x Remove the zero: 7c = -14x Divide each side by '7'. c = -2x Simplifying c = -2x
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