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Simplifying 3x + 9 + 7x + -6 = 13x Reorder the terms: 9 + -6 + 3x + 7x = 13x Combine like terms: 9 + -6 = 3 3 + 3x + 7x = 13x Combine like terms: 3x + 7x = 10x 3 + 10x = 13x Solving 3 + 10x = 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. 3 + 10x + -13x = 13x + -13x Combine like terms: 10x + -13x = -3x 3 + -3x = 13x + -13x Combine like terms: 13x + -13x = 0 3 + -3x = 0 Add '-3' to each side of the equation. 3 + -3 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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