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Simplifying 6x + 45 = 3x + 84 Reorder the terms: 45 + 6x = 3x + 84 Reorder the terms: 45 + 6x = 84 + 3x Solving 45 + 6x = 84 + 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 = 84 + 3x + -3x Combine like terms: 6x + -3x = 3x 45 + 3x = 84 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + 3x = 84 + 0 45 + 3x = 84 Add '-45' to each side of the equation. 45 + -45 + 3x = 84 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 84 + -45 3x = 84 + -45 Combine like terms: 84 + -45 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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