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Simplifying 5(c + 8) + -7x = -1(2x + -4) Reorder the terms: 5(8 + c) + -7x = -1(2x + -4) (8 * 5 + c * 5) + -7x = -1(2x + -4) (40 + 5c) + -7x = -1(2x + -4) Reorder the terms: 40 + 5c + -7x = -1(-4 + 2x) 40 + 5c + -7x = (-4 * -1 + 2x * -1) 40 + 5c + -7x = (4 + -2x) Solving 40 + 5c + -7x = 4 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 5c + -40 + -7x = 4 + -40 + -2x Reorder the terms: 40 + -40 + 5c + -7x = 4 + -40 + -2x Combine like terms: 40 + -40 = 0 0 + 5c + -7x = 4 + -40 + -2x 5c + -7x = 4 + -40 + -2x Combine like terms: 4 + -40 = -36 5c + -7x = -36 + -2x Add '7x' to each side of the equation. 5c + -7x + 7x = -36 + -2x + 7x Combine like terms: -7x + 7x = 0 5c + 0 = -36 + -2x + 7x 5c = -36 + -2x + 7x Combine like terms: -2x + 7x = 5x 5c = -36 + 5x Divide each side by '5'. c = -7.2 + x Simplifying c = -7.2 + x
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