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Simplifying 26x + 7 = 4(5x + 4) + 6 + 1 Reorder the terms: 7 + 26x = 4(5x + 4) + 6 + 1 Reorder the terms: 7 + 26x = 4(4 + 5x) + 6 + 1 7 + 26x = (4 * 4 + 5x * 4) + 6 + 1 7 + 26x = (16 + 20x) + 6 + 1 Reorder the terms: 7 + 26x = 16 + 6 + 1 + 20x Combine like terms: 16 + 6 = 22 7 + 26x = 22 + 1 + 20x Combine like terms: 22 + 1 = 23 7 + 26x = 23 + 20x Solving 7 + 26x = 23 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 7 + 26x + -20x = 23 + 20x + -20x Combine like terms: 26x + -20x = 6x 7 + 6x = 23 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + 6x = 23 + 0 7 + 6x = 23 Add '-7' to each side of the equation. 7 + -7 + 6x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 23 + -7 6x = 23 + -7 Combine like terms: 23 + -7 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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