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Simplifying 6x + -1(1 + -1x) = 3x + 17 6x + (1 * -1 + -1x * -1) = 3x + 17 6x + (-1 + 1x) = 3x + 17 Reorder the terms: -1 + 6x + 1x = 3x + 17 Combine like terms: 6x + 1x = 7x -1 + 7x = 3x + 17 Reorder the terms: -1 + 7x = 17 + 3x Solving -1 + 7x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 7x + -3x = 17 + 3x + -3x Combine like terms: 7x + -3x = 4x -1 + 4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 4x = 17 + 0 -1 + 4x = 17 Add '1' to each side of the equation. -1 + 1 + 4x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 17 + 1 4x = 17 + 1 Combine like terms: 17 + 1 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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