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Simplifying 7x + -1 + 3x = 16 + 8x + 13 Reorder the terms: -1 + 7x + 3x = 16 + 8x + 13 Combine like terms: 7x + 3x = 10x -1 + 10x = 16 + 8x + 13 Reorder the terms: -1 + 10x = 16 + 13 + 8x Combine like terms: 16 + 13 = 29 -1 + 10x = 29 + 8x Solving -1 + 10x = 29 + 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. -1 + 10x + -8x = 29 + 8x + -8x Combine like terms: 10x + -8x = 2x -1 + 2x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 2x = 29 + 0 -1 + 2x = 29 Add '1' to each side of the equation. -1 + 1 + 2x = 29 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 29 + 1 2x = 29 + 1 Combine like terms: 29 + 1 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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