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Simplifying -7x + 34 = -15x + 9 + 13x Reorder the terms: 34 + -7x = -15x + 9 + 13x Reorder the terms: 34 + -7x = 9 + -15x + 13x Combine like terms: -15x + 13x = -2x 34 + -7x = 9 + -2x Solving 34 + -7x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + -7x + 2x = 9 + -2x + 2x Combine like terms: -7x + 2x = -5x 34 + -5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + -5x = 9 + 0 34 + -5x = 9 Add '-34' to each side of the equation. 34 + -34 + -5x = 9 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = 9 + -34 -5x = 9 + -34 Combine like terms: 9 + -34 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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