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Simplifying 10(x + -1) = 7x + 17 Reorder the terms: 10(-1 + x) = 7x + 17 (-1 * 10 + x * 10) = 7x + 17 (-10 + 10x) = 7x + 17 Reorder the terms: -10 + 10x = 17 + 7x Solving -10 + 10x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 10x + -7x = 17 + 7x + -7x Combine like terms: 10x + -7x = 3x -10 + 3x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 3x = 17 + 0 -10 + 3x = 17 Add '10' to each side of the equation. -10 + 10 + 3x = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 17 + 10 3x = 17 + 10 Combine like terms: 17 + 10 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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