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Simplifying -5x + 4x + -13 = 1 + -8x Reorder the terms: -13 + -5x + 4x = 1 + -8x Combine like terms: -5x + 4x = -1x -13 + -1x = 1 + -8x Solving -13 + -1x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -13 + -1x + 8x = 1 + -8x + 8x Combine like terms: -1x + 8x = 7x -13 + 7x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -13 + 7x = 1 + 0 -13 + 7x = 1 Add '13' to each side of the equation. -13 + 13 + 7x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 1 + 13 7x = 1 + 13 Combine like terms: 1 + 13 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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