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