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Simplifying x + -5(x + 12) + -1(x + -13) = -17 Reorder the terms: x + -5(12 + x) + -1(x + -13) = -17 x + (12 * -5 + x * -5) + -1(x + -13) = -17 x + (-60 + -5x) + -1(x + -13) = -17 Reorder the terms: x + -60 + -5x + -1(-13 + x) = -17 x + -60 + -5x + (-13 * -1 + x * -1) = -17 x + -60 + -5x + (13 + -1x) = -17 Reorder the terms: -60 + 13 + x + -5x + -1x = -17 Combine like terms: -60 + 13 = -47 -47 + x + -5x + -1x = -17 Combine like terms: x + -5x = -4x -47 + -4x + -1x = -17 Combine like terms: -4x + -1x = -5x -47 + -5x = -17 Solving -47 + -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 + 47 + -5x = -17 + 47 Combine like terms: -47 + 47 = 0 0 + -5x = -17 + 47 -5x = -17 + 47 Combine like terms: -17 + 47 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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