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Simplifying 8(c + 7) + -4x = 3x + 15c + x Reorder the terms: 8(7 + c) + -4x = 3x + 15c + x (7 * 8 + c * 8) + -4x = 3x + 15c + x (56 + 8c) + -4x = 3x + 15c + x Reorder the terms: 56 + 8c + -4x = 15c + 3x + x Combine like terms: 3x + x = 4x 56 + 8c + -4x = 15c + 4x Solving 56 + 8c + -4x = 15c + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. 56 + 8c + -15c + -4x = 15c + -15c + 4x Combine like terms: 8c + -15c = -7c 56 + -7c + -4x = 15c + -15c + 4x Combine like terms: 15c + -15c = 0 56 + -7c + -4x = 0 + 4x 56 + -7c + -4x = 4x Add '-56' to each side of the equation. 56 + -7c + -56 + -4x = -56 + 4x Reorder the terms: 56 + -56 + -7c + -4x = -56 + 4x Combine like terms: 56 + -56 = 0 0 + -7c + -4x = -56 + 4x -7c + -4x = -56 + 4x Add '4x' to each side of the equation. -7c + -4x + 4x = -56 + 4x + 4x Combine like terms: -4x + 4x = 0 -7c + 0 = -56 + 4x + 4x -7c = -56 + 4x + 4x Combine like terms: 4x + 4x = 8x -7c = -56 + 8x Divide each side by '-7'. c = 8 + -1.142857143x Simplifying c = 8 + -1.142857143x
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