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Simplifying 6x + 6 = 45 + -7x Reorder the terms: 6 + 6x = 45 + -7x Solving 6 + 6x = 45 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 6x + 7x = 45 + -7x + 7x Combine like terms: 6x + 7x = 13x 6 + 13x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 13x = 45 + 0 6 + 13x = 45 Add '-6' to each side of the equation. 6 + -6 + 13x = 45 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 45 + -6 13x = 45 + -6 Combine like terms: 45 + -6 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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