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Simplifying X + -5(x + 13) + -1(x + -13) = -17 Reorder the terms: X + -5(13 + x) + -1(x + -13) = -17 X + (13 * -5 + x * -5) + -1(x + -13) = -17 X + (-65 + -5x) + -1(x + -13) = -17 Reorder the terms: X + -65 + -5x + -1(-13 + x) = -17 X + -65 + -5x + (-13 * -1 + x * -1) = -17 X + -65 + -5x + (13 + -1x) = -17 Reorder the terms: -65 + 13 + X + -5x + -1x = -17 Combine like terms: -65 + 13 = -52 -52 + X + -5x + -1x = -17 Combine like terms: -5x + -1x = -6x -52 + X + -6x = -17 Solving -52 + X + -6x = -17 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '52' to each side of the equation. -52 + X + 52 + -6x = -17 + 52 Reorder the terms: -52 + 52 + X + -6x = -17 + 52 Combine like terms: -52 + 52 = 0 0 + X + -6x = -17 + 52 X + -6x = -17 + 52 Combine like terms: -17 + 52 = 35 X + -6x = 35 Add '6x' to each side of the equation. X + -6x + 6x = 35 + 6x Combine like terms: -6x + 6x = 0 X + 0 = 35 + 6x X = 35 + 6x Simplifying X = 35 + 6x
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