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Simplifying 6x + 34 = 13x + 43 Reorder the terms: 34 + 6x = 13x + 43 Reorder the terms: 34 + 6x = 43 + 13x Solving 34 + 6x = 43 + 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 + 6x + -13x = 43 + 13x + -13x Combine like terms: 6x + -13x = -7x 34 + -7x = 43 + 13x + -13x Combine like terms: 13x + -13x = 0 34 + -7x = 43 + 0 34 + -7x = 43 Add '-34' to each side of the equation. 34 + -34 + -7x = 43 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = 43 + -34 -7x = 43 + -34 Combine like terms: 43 + -34 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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