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Simplifying 7x + -1 = 4x + 17 + 7x Reorder the terms: -1 + 7x = 4x + 17 + 7x Reorder the terms: -1 + 7x = 17 + 4x + 7x Combine like terms: 4x + 7x = 11x -1 + 7x = 17 + 11x Solving -1 + 7x = 17 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -1 + 7x + -11x = 17 + 11x + -11x Combine like terms: 7x + -11x = -4x -1 + -4x = 17 + 11x + -11x Combine like terms: 11x + -11x = 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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