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Simplifying 4(x + 3) + -1(c + -1) = 64 Reorder the terms: 4(3 + x) + -1(c + -1) = 64 (3 * 4 + x * 4) + -1(c + -1) = 64 (12 + 4x) + -1(c + -1) = 64 Reorder the terms: 12 + 4x + -1(-1 + c) = 64 12 + 4x + (-1 * -1 + c * -1) = 64 12 + 4x + (1 + -1c) = 64 Reorder the terms: 12 + 1 + -1c + 4x = 64 Combine like terms: 12 + 1 = 13 13 + -1c + 4x = 64 Solving 13 + -1c + 4x = 64 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -1c + -13 + 4x = 64 + -13 Reorder the terms: 13 + -13 + -1c + 4x = 64 + -13 Combine like terms: 13 + -13 = 0 0 + -1c + 4x = 64 + -13 -1c + 4x = 64 + -13 Combine like terms: 64 + -13 = 51 -1c + 4x = 51 Add '-4x' to each side of the equation. -1c + 4x + -4x = 51 + -4x Combine like terms: 4x + -4x = 0 -1c + 0 = 51 + -4x -1c = 51 + -4x Divide each side by '-1'. c = -51 + 4x Simplifying c = -51 + 4x
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