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Simplifying 5x + 34 = 13x + -38 Reorder the terms: 34 + 5x = 13x + -38 Reorder the terms: 34 + 5x = -38 + 13x Solving 34 + 5x = -38 + 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. 34 + 5x + -13x = -38 + 13x + -13x Combine like terms: 5x + -13x = -8x 34 + -8x = -38 + 13x + -13x Combine like terms: 13x + -13x = 0 34 + -8x = -38 + 0 34 + -8x = -38 Add '-34' to each side of the equation. 34 + -34 + -8x = -38 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = -38 + -34 -8x = -38 + -34 Combine like terms: -38 + -34 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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