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Simplifying 7x + 13 = 14x + 34 Reorder the terms: 13 + 7x = 14x + 34 Reorder the terms: 13 + 7x = 34 + 14x Solving 13 + 7x = 34 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 13 + 7x + -14x = 34 + 14x + -14x Combine like terms: 7x + -14x = -7x 13 + -7x = 34 + 14x + -14x Combine like terms: 14x + -14x = 0 13 + -7x = 34 + 0 13 + -7x = 34 Add '-13' to each side of the equation. 13 + -13 + -7x = 34 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = 34 + -13 -7x = 34 + -13 Combine like terms: 34 + -13 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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