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Simplifying 45 + -6x = 3x + 19 Reorder the terms: 45 + -6x = 19 + 3x Solving 45 + -6x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + -6x + -3x = 19 + 3x + -3x Combine like terms: -6x + -3x = -9x 45 + -9x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -9x = 19 + 0 45 + -9x = 19 Add '-45' to each side of the equation. 45 + -45 + -9x = 19 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 19 + -45 -9x = 19 + -45 Combine like terms: 19 + -45 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889
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