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Simplifying 7x = 19 + -1(2x + 1) Reorder the terms: 7x = 19 + -1(1 + 2x) 7x = 19 + (1 * -1 + 2x * -1) 7x = 19 + (-1 + -2x) Combine like terms: 19 + -1 = 18 7x = 18 + -2x Solving 7x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7x + 2x = 18 + -2x + 2x Combine like terms: 7x + 2x = 9x 9x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 9x = 18 + 0 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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