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Simplifying -3(x + 3) = 7x + -1 + 2(2x + 1) Reorder the terms: -3(3 + x) = 7x + -1 + 2(2x + 1) (3 * -3 + x * -3) = 7x + -1 + 2(2x + 1) (-9 + -3x) = 7x + -1 + 2(2x + 1) Reorder the terms: -9 + -3x = 7x + -1 + 2(1 + 2x) -9 + -3x = 7x + -1 + (1 * 2 + 2x * 2) -9 + -3x = 7x + -1 + (2 + 4x) Reorder the terms: -9 + -3x = -1 + 2 + 7x + 4x Combine like terms: -1 + 2 = 1 -9 + -3x = 1 + 7x + 4x Combine like terms: 7x + 4x = 11x -9 + -3x = 1 + 11x Solving -9 + -3x = 1 + 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. -9 + -3x + -11x = 1 + 11x + -11x Combine like terms: -3x + -11x = -14x -9 + -14x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + -14x = 1 + 0 -9 + -14x = 1 Add '9' to each side of the equation. -9 + 9 + -14x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -14x = 1 + 9 -14x = 1 + 9 Combine like terms: 1 + 9 = 10 -14x = 10 Divide each side by '-14'. x = -0.7142857143 Simplifying x = -0.7142857143
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