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Simplifying -7(3x + 1) = -26 + -2x Reorder the terms: -7(1 + 3x) = -26 + -2x (1 * -7 + 3x * -7) = -26 + -2x (-7 + -21x) = -26 + -2x Solving -7 + -21x = -26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -21x + 2x = -26 + -2x + 2x Combine like terms: -21x + 2x = -19x -7 + -19x = -26 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -19x = -26 + 0 -7 + -19x = -26 Add '7' to each side of the equation. -7 + 7 + -19x = -26 + 7 Combine like terms: -7 + 7 = 0 0 + -19x = -26 + 7 -19x = -26 + 7 Combine like terms: -26 + 7 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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