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