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Simplifying 2x + 7 = 26(6 + x) + -4 Reorder the terms: 7 + 2x = 26(6 + x) + -4 7 + 2x = (6 * 26 + x * 26) + -4 7 + 2x = (156 + 26x) + -4 Reorder the terms: 7 + 2x = 156 + -4 + 26x Combine like terms: 156 + -4 = 152 7 + 2x = 152 + 26x Solving 7 + 2x = 152 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 7 + 2x + -26x = 152 + 26x + -26x Combine like terms: 2x + -26x = -24x 7 + -24x = 152 + 26x + -26x Combine like terms: 26x + -26x = 0 7 + -24x = 152 + 0 7 + -24x = 152 Add '-7' to each side of the equation. 7 + -7 + -24x = 152 + -7 Combine like terms: 7 + -7 = 0 0 + -24x = 152 + -7 -24x = 152 + -7 Combine like terms: 152 + -7 = 145 -24x = 145 Divide each side by '-24'. x = -6.041666667 Simplifying x = -6.041666667
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