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Simplifying 5x + 26 = 7(6 + x) + 2x Reorder the terms: 26 + 5x = 7(6 + x) + 2x 26 + 5x = (6 * 7 + x * 7) + 2x 26 + 5x = (42 + 7x) + 2x Combine like terms: 7x + 2x = 9x 26 + 5x = 42 + 9x Solving 26 + 5x = 42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 26 + 5x + -9x = 42 + 9x + -9x Combine like terms: 5x + -9x = -4x 26 + -4x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 26 + -4x = 42 + 0 26 + -4x = 42 Add '-26' to each side of the equation. 26 + -26 + -4x = 42 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 42 + -26 -4x = 42 + -26 Combine like terms: 42 + -26 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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