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Simplifying -8 + 3(7x + -6) = -1(-2x + 7) Reorder the terms: -8 + 3(-6 + 7x) = -1(-2x + 7) -8 + (-6 * 3 + 7x * 3) = -1(-2x + 7) -8 + (-18 + 21x) = -1(-2x + 7) Combine like terms: -8 + -18 = -26 -26 + 21x = -1(-2x + 7) Reorder the terms: -26 + 21x = -1(7 + -2x) -26 + 21x = (7 * -1 + -2x * -1) -26 + 21x = (-7 + 2x) Solving -26 + 21x = -7 + 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. -26 + 21x + -2x = -7 + 2x + -2x Combine like terms: 21x + -2x = 19x -26 + 19x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -26 + 19x = -7 + 0 -26 + 19x = -7 Add '26' to each side of the equation. -26 + 26 + 19x = -7 + 26 Combine like terms: -26 + 26 = 0 0 + 19x = -7 + 26 19x = -7 + 26 Combine like terms: -7 + 26 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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