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Simplifying 4x + -8 + 5x = 10x + 13 + -8x Reorder the terms: -8 + 4x + 5x = 10x + 13 + -8x Combine like terms: 4x + 5x = 9x -8 + 9x = 10x + 13 + -8x Reorder the terms: -8 + 9x = 13 + 10x + -8x Combine like terms: 10x + -8x = 2x -8 + 9x = 13 + 2x Solving -8 + 9x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 9x + -2x = 13 + 2x + -2x Combine like terms: 9x + -2x = 7x -8 + 7x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 7x = 13 + 0 -8 + 7x = 13 Add '8' to each side of the equation. -8 + 8 + 7x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 13 + 8 7x = 13 + 8 Combine like terms: 13 + 8 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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