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Simplifying 10x + 2 + 4x + 9 = 13x + 13 Reorder the terms: 2 + 9 + 10x + 4x = 13x + 13 Combine like terms: 2 + 9 = 11 11 + 10x + 4x = 13x + 13 Combine like terms: 10x + 4x = 14x 11 + 14x = 13x + 13 Reorder the terms: 11 + 14x = 13 + 13x Solving 11 + 14x = 13 + 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. 11 + 14x + -13x = 13 + 13x + -13x Combine like terms: 14x + -13x = 1x 11 + 1x = 13 + 13x + -13x Combine like terms: 13x + -13x = 0 11 + 1x = 13 + 0 11 + 1x = 13 Add '-11' to each side of the equation. 11 + -11 + 1x = 13 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 13 + -11 1x = 13 + -11 Combine like terms: 13 + -11 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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