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Simplifying -6x + 7(x + 4) = 34 Reorder the terms: -6x + 7(4 + x) = 34 -6x + (4 * 7 + x * 7) = 34 -6x + (28 + 7x) = 34 Reorder the terms: 28 + -6x + 7x = 34 Combine like terms: -6x + 7x = 1x 28 + 1x = 34 Solving 28 + 1x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1x = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 34 + -28 1x = 34 + -28 Combine like terms: 34 + -28 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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