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Simplifying 7(2x + 4) + 6 = 13x + 34 Reorder the terms: 7(4 + 2x) + 6 = 13x + 34 (4 * 7 + 2x * 7) + 6 = 13x + 34 (28 + 14x) + 6 = 13x + 34 Reorder the terms: 28 + 6 + 14x = 13x + 34 Combine like terms: 28 + 6 = 34 34 + 14x = 13x + 34 Reorder the terms: 34 + 14x = 34 + 13x Add '-34' to each side of the equation. 34 + -34 + 14x = 34 + -34 + 13x Combine like terms: 34 + -34 = 0 0 + 14x = 34 + -34 + 13x 14x = 34 + -34 + 13x Combine like terms: 34 + -34 = 0 14x = 0 + 13x 14x = 13x Solving 14x = 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. 14x + -13x = 13x + -13x Combine like terms: 14x + -13x = 1x 1x = 13x + -13x Combine like terms: 13x + -13x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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