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Simplifying -5 + -13 = 8x + 17 + -7x Combine like terms: -5 + -13 = -18 -18 = 8x + 17 + -7x Reorder the terms: -18 = 17 + 8x + -7x Combine like terms: 8x + -7x = 1x -18 = 17 + 1x Solving -18 = 17 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + -1x = 17 + 1x + -1x Combine like terms: 1x + -1x = 0 -18 + -1x = 17 + 0 -18 + -1x = 17 Add '18' to each side of the equation. -18 + 18 + -1x = 17 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 17 + 18 -1x = 17 + 18 Combine like terms: 17 + 18 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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