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Simplifying -6x + -26 = 7(7 + -3x) Reorder the terms: -26 + -6x = 7(7 + -3x) -26 + -6x = (7 * 7 + -3x * 7) -26 + -6x = (49 + -21x) Solving -26 + -6x = 49 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -26 + -6x + 21x = 49 + -21x + 21x Combine like terms: -6x + 21x = 15x -26 + 15x = 49 + -21x + 21x Combine like terms: -21x + 21x = 0 -26 + 15x = 49 + 0 -26 + 15x = 49 Add '26' to each side of the equation. -26 + 26 + 15x = 49 + 26 Combine like terms: -26 + 26 = 0 0 + 15x = 49 + 26 15x = 49 + 26 Combine like terms: 49 + 26 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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