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Simplifying 7(2x + -1) = 11(x + 1) Reorder the terms: 7(-1 + 2x) = 11(x + 1) (-1 * 7 + 2x * 7) = 11(x + 1) (-7 + 14x) = 11(x + 1) Reorder the terms: -7 + 14x = 11(1 + x) -7 + 14x = (1 * 11 + x * 11) -7 + 14x = (11 + 11x) Solving -7 + 14x = 11 + 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. -7 + 14x + -11x = 11 + 11x + -11x Combine like terms: 14x + -11x = 3x -7 + 3x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + 3x = 11 + 0 -7 + 3x = 11 Add '7' to each side of the equation. -7 + 7 + 3x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 11 + 7 3x = 11 + 7 Combine like terms: 11 + 7 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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