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Simplifying 3x + 5 + -6x = 14 + -13x + 10 + -9 Reorder the terms: 5 + 3x + -6x = 14 + -13x + 10 + -9 Combine like terms: 3x + -6x = -3x 5 + -3x = 14 + -13x + 10 + -9 Reorder the terms: 5 + -3x = 14 + 10 + -9 + -13x Combine like terms: 14 + 10 = 24 5 + -3x = 24 + -9 + -13x Combine like terms: 24 + -9 = 15 5 + -3x = 15 + -13x Solving 5 + -3x = 15 + -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 + -3x + 13x = 15 + -13x + 13x Combine like terms: -3x + 13x = 10x 5 + 10x = 15 + -13x + 13x Combine like terms: -13x + 13x = 0 5 + 10x = 15 + 0 5 + 10x = 15 Add '-5' to each side of the equation. 5 + -5 + 10x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 15 + -5 10x = 15 + -5 Combine like terms: 15 + -5 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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