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Simplifying 45 + -6x = 3x + 9 + 2x Reorder the terms: 45 + -6x = 9 + 3x + 2x Combine like terms: 3x + 2x = 5x 45 + -6x = 9 + 5x Solving 45 + -6x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + -6x + -5x = 9 + 5x + -5x Combine like terms: -6x + -5x = -11x 45 + -11x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -11x = 9 + 0 45 + -11x = 9 Add '-45' to each side of the equation. 45 + -45 + -11x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -11x = 9 + -45 -11x = 9 + -45 Combine like terms: 9 + -45 = -36 -11x = -36 Divide each side by '-11'. x = 3.272727273 Simplifying x = 3.272727273
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