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Simplifying -5x + -9 + 13x = -18 + 6x + -1 Reorder the terms: -9 + -5x + 13x = -18 + 6x + -1 Combine like terms: -5x + 13x = 8x -9 + 8x = -18 + 6x + -1 Reorder the terms: -9 + 8x = -18 + -1 + 6x Combine like terms: -18 + -1 = -19 -9 + 8x = -19 + 6x Solving -9 + 8x = -19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 8x + -6x = -19 + 6x + -6x Combine like terms: 8x + -6x = 2x -9 + 2x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 2x = -19 + 0 -9 + 2x = -19 Add '9' to each side of the equation. -9 + 9 + 2x = -19 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -19 + 9 2x = -19 + 9 Combine like terms: -19 + 9 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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