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Simplifying X + -5(x + 12) + -1(c + -13) = -17 Reorder the terms: X + -5(12 + x) + -1(c + -13) = -17 X + (12 * -5 + x * -5) + -1(c + -13) = -17 X + (-60 + -5x) + -1(c + -13) = -17 Reorder the terms: X + -60 + -5x + -1(-13 + c) = -17 X + -60 + -5x + (-13 * -1 + c * -1) = -17 X + -60 + -5x + (13 + -1c) = -17 Reorder the terms: -60 + 13 + X + -1c + -5x = -17 Combine like terms: -60 + 13 = -47 -47 + X + -1c + -5x = -17 Solving -47 + X + -1c + -5x = -17 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '47' to each side of the equation. -47 + X + -1c + 47 + -5x = -17 + 47 Reorder the terms: -47 + 47 + X + -1c + -5x = -17 + 47 Combine like terms: -47 + 47 = 0 0 + X + -1c + -5x = -17 + 47 X + -1c + -5x = -17 + 47 Combine like terms: -17 + 47 = 30 X + -1c + -5x = 30 Add 'c' to each side of the equation. X + -1c + c + -5x = 30 + c Combine like terms: -1c + c = 0 X + 0 + -5x = 30 + c X + -5x = 30 + c Add '5x' to each side of the equation. X + -5x + 5x = 30 + c + 5x Combine like terms: -5x + 5x = 0 X + 0 = 30 + c + 5x X = 30 + c + 5x Simplifying X = 30 + c + 5x
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