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Simplifying 7x + -11 = 2(1 + -3x) Reorder the terms: -11 + 7x = 2(1 + -3x) -11 + 7x = (1 * 2 + -3x * 2) -11 + 7x = (2 + -6x) Solving -11 + 7x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -11 + 7x + 6x = 2 + -6x + 6x Combine like terms: 7x + 6x = 13x -11 + 13x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 13x = 2 + 0 -11 + 13x = 2 Add '11' to each side of the equation. -11 + 11 + 13x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 2 + 11 13x = 2 + 11 Combine like terms: 2 + 11 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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