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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 = 73 73 + x + -5x + -1x = -17 Combine like terms: x + -5x = -4x 73 + -4x + -1x = -17 Combine like terms: -4x + -1x = -5x 73 + -5x = -17 Solving 73 + -5x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + -5x = -17 + -73 Combine like terms: 73 + -73 = 0 0 + -5x = -17 + -73 -5x = -17 + -73 Combine like terms: -17 + -73 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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