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Simplifying -7(-1x + 3) = -6(5 + -1x) Reorder the terms: -7(3 + -1x) = -6(5 + -1x) (3 * -7 + -1x * -7) = -6(5 + -1x) (-21 + 7x) = -6(5 + -1x) -21 + 7x = (5 * -6 + -1x * -6) -21 + 7x = (-30 + 6x) Solving -21 + 7x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 7x + -6x = -30 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = -30 + 0 -21 + 1x = -30 Add '21' to each side of the equation. -21 + 21 + 1x = -30 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -30 + 21 1x = -30 + 21 Combine like terms: -30 + 21 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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