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Simplifying 45 + -6x = 3x + 9 + 3x Reorder the terms: 45 + -6x = 9 + 3x + 3x Combine like terms: 3x + 3x = 6x 45 + -6x = 9 + 6x Solving 45 + -6x = 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. 45 + -6x + -6x = 9 + 6x + -6x Combine like terms: -6x + -6x = -12x 45 + -12x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -12x = 9 + 0 45 + -12x = 9 Add '-45' to each side of the equation. 45 + -45 + -12x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = 9 + -45 -12x = 9 + -45 Combine like terms: 9 + -45 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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