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Simplifying 8(4x + 6) + (c + 7) = 11 Reorder the terms: 8(6 + 4x) + (c + 7) = 11 (6 * 8 + 4x * 8) + (c + 7) = 11 (48 + 32x) + (c + 7) = 11 Reorder the terms: 48 + 32x + (7 + c) = 11 Remove parenthesis around (7 + c) 48 + 32x + 7 + c = 11 Reorder the terms: 48 + 7 + c + 32x = 11 Combine like terms: 48 + 7 = 55 55 + c + 32x = 11 Solving 55 + c + 32x = 11 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + c + -55 + 32x = 11 + -55 Reorder the terms: 55 + -55 + c + 32x = 11 + -55 Combine like terms: 55 + -55 = 0 0 + c + 32x = 11 + -55 c + 32x = 11 + -55 Combine like terms: 11 + -55 = -44 c + 32x = -44 Add '-32x' to each side of the equation. c + 32x + -32x = -44 + -32x Combine like terms: 32x + -32x = 0 c + 0 = -44 + -32x c = -44 + -32x Simplifying c = -44 + -32x
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