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Simplifying 13x + 3 = 6x + 45 Reorder the terms: 3 + 13x = 6x + 45 Reorder the terms: 3 + 13x = 45 + 6x Solving 3 + 13x = 45 + 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. 3 + 13x + -6x = 45 + 6x + -6x Combine like terms: 13x + -6x = 7x 3 + 7x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 7x = 45 + 0 3 + 7x = 45 Add '-3' to each side of the equation. 3 + -3 + 7x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 45 + -3 7x = 45 + -3 Combine like terms: 45 + -3 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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