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Simplifying 3x + 7(x + -1) = 8x + 17 Reorder the terms: 3x + 7(-1 + x) = 8x + 17 3x + (-1 * 7 + x * 7) = 8x + 17 3x + (-7 + 7x) = 8x + 17 Reorder the terms: -7 + 3x + 7x = 8x + 17 Combine like terms: 3x + 7x = 10x -7 + 10x = 8x + 17 Reorder the terms: -7 + 10x = 17 + 8x Solving -7 + 10x = 17 + 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. -7 + 10x + -8x = 17 + 8x + -8x Combine like terms: 10x + -8x = 2x -7 + 2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 2x = 17 + 0 -7 + 2x = 17 Add '7' to each side of the equation. -7 + 7 + 2x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 17 + 7 2x = 17 + 7 Combine like terms: 17 + 7 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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