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Simplifying 10x + 5 = 13x + 9 Reorder the terms: 5 + 10x = 13x + 9 Reorder the terms: 5 + 10x = 9 + 13x Solving 5 + 10x = 9 + 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. 5 + 10x + -13x = 9 + 13x + -13x Combine like terms: 10x + -13x = -3x 5 + -3x = 9 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -3x = 9 + 0 5 + -3x = 9 Add '-5' to each side of the equation. 5 + -5 + -3x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 9 + -5 -3x = 9 + -5 Combine like terms: 9 + -5 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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