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Simplifying 45 + -3x = 6x + 22 Reorder the terms: 45 + -3x = 22 + 6x Solving 45 + -3x = 22 + 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. 45 + -3x + -6x = 22 + 6x + -6x Combine like terms: -3x + -6x = -9x 45 + -9x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -9x = 22 + 0 45 + -9x = 22 Add '-45' to each side of the equation. 45 + -45 + -9x = 22 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 22 + -45 -9x = 22 + -45 Combine like terms: 22 + -45 = -23 -9x = -23 Divide each side by '-9'. x = 2.555555556 Simplifying x = 2.555555556
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