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Simplifying -1(-1x + 2) = -8 + 7(-3x + 4) Reorder the terms: -1(2 + -1x) = -8 + 7(-3x + 4) (2 * -1 + -1x * -1) = -8 + 7(-3x + 4) (-2 + 1x) = -8 + 7(-3x + 4) Reorder the terms: -2 + 1x = -8 + 7(4 + -3x) -2 + 1x = -8 + (4 * 7 + -3x * 7) -2 + 1x = -8 + (28 + -21x) Combine like terms: -8 + 28 = 20 -2 + 1x = 20 + -21x Solving -2 + 1x = 20 + -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. -2 + 1x + 21x = 20 + -21x + 21x Combine like terms: 1x + 21x = 22x -2 + 22x = 20 + -21x + 21x Combine like terms: -21x + 21x = 0 -2 + 22x = 20 + 0 -2 + 22x = 20 Add '2' to each side of the equation. -2 + 2 + 22x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 22x = 20 + 2 22x = 20 + 2 Combine like terms: 20 + 2 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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