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Simplifying 2x + 19 = 7(7 + 4x) Reorder the terms: 19 + 2x = 7(7 + 4x) 19 + 2x = (7 * 7 + 4x * 7) 19 + 2x = (49 + 28x) Solving 19 + 2x = 49 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 19 + 2x + -28x = 49 + 28x + -28x Combine like terms: 2x + -28x = -26x 19 + -26x = 49 + 28x + -28x Combine like terms: 28x + -28x = 0 19 + -26x = 49 + 0 19 + -26x = 49 Add '-19' to each side of the equation. 19 + -19 + -26x = 49 + -19 Combine like terms: 19 + -19 = 0 0 + -26x = 49 + -19 -26x = 49 + -19 Combine like terms: 49 + -19 = 30 -26x = 30 Divide each side by '-26'. x = -1.153846154 Simplifying x = -1.153846154
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