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Simplifying 2(5X + 2) + -4(C + -12) = X + 36 Reorder the terms: 2(2 + 5X) + -4(C + -12) = X + 36 (2 * 2 + 5X * 2) + -4(C + -12) = X + 36 (4 + 10X) + -4(C + -12) = X + 36 Reorder the terms: 4 + 10X + -4(-12 + C) = X + 36 4 + 10X + (-12 * -4 + C * -4) = X + 36 4 + 10X + (48 + -4C) = X + 36 Reorder the terms: 4 + 48 + -4C + 10X = X + 36 Combine like terms: 4 + 48 = 52 52 + -4C + 10X = X + 36 Reorder the terms: 52 + -4C + 10X = 36 + X Solving 52 + -4C + 10X = 36 + X Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -4C + -52 + 10X = 36 + -52 + X Reorder the terms: 52 + -52 + -4C + 10X = 36 + -52 + X Combine like terms: 52 + -52 = 0 0 + -4C + 10X = 36 + -52 + X -4C + 10X = 36 + -52 + X Combine like terms: 36 + -52 = -16 -4C + 10X = -16 + X Add '-10X' to each side of the equation. -4C + 10X + -10X = -16 + X + -10X Combine like terms: 10X + -10X = 0 -4C + 0 = -16 + X + -10X -4C = -16 + X + -10X Combine like terms: X + -10X = -9X -4C = -16 + -9X Divide each side by '-4'. C = 4 + 2.25X Simplifying C = 4 + 2.25X
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