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Simplifying 2 + -3.33(x + 1) = 6x + -9 Reorder the terms: 2 + -3.33(1 + x) = 6x + -9 2 + (1 * -3.33 + x * -3.33) = 6x + -9 2 + (-3.33 + -3.33x) = 6x + -9 Combine like terms: 2 + -3.33 = -1.33 -1.33 + -3.33x = 6x + -9 Reorder the terms: -1.33 + -3.33x = -9 + 6x Solving -1.33 + -3.33x = -9 + 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. -1.33 + -3.33x + -6x = -9 + 6x + -6x Combine like terms: -3.33x + -6x = -9.33x -1.33 + -9.33x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1.33 + -9.33x = -9 + 0 -1.33 + -9.33x = -9 Add '1.33' to each side of the equation. -1.33 + 1.33 + -9.33x = -9 + 1.33 Combine like terms: -1.33 + 1.33 = 0.00 0.00 + -9.33x = -9 + 1.33 -9.33x = -9 + 1.33 Combine like terms: -9 + 1.33 = -7.67 -9.33x = -7.67 Divide each side by '-9.33'. x = 0.822079314 Simplifying x = 0.822079314
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