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Simplifying 28 + 36 + 6(-7x + c) = 2(5x + -6) Reorder the terms: 28 + 36 + 6(c + -7x) = 2(5x + -6) 28 + 36 + (c * 6 + -7x * 6) = 2(5x + -6) 28 + 36 + (6c + -42x) = 2(5x + -6) Combine like terms: 28 + 36 = 64 64 + 6c + -42x = 2(5x + -6) Reorder the terms: 64 + 6c + -42x = 2(-6 + 5x) 64 + 6c + -42x = (-6 * 2 + 5x * 2) 64 + 6c + -42x = (-12 + 10x) Solving 64 + 6c + -42x = -12 + 10x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 6c + -64 + -42x = -12 + -64 + 10x Reorder the terms: 64 + -64 + 6c + -42x = -12 + -64 + 10x Combine like terms: 64 + -64 = 0 0 + 6c + -42x = -12 + -64 + 10x 6c + -42x = -12 + -64 + 10x Combine like terms: -12 + -64 = -76 6c + -42x = -76 + 10x Add '42x' to each side of the equation. 6c + -42x + 42x = -76 + 10x + 42x Combine like terms: -42x + 42x = 0 6c + 0 = -76 + 10x + 42x 6c = -76 + 10x + 42x Combine like terms: 10x + 42x = 52x 6c = -76 + 52x Divide each side by '6'. c = -12.66666667 + 8.666666667x Simplifying c = -12.66666667 + 8.666666667x
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