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Simplifying -6(7x + -1) + -8 = -2x + 38 Reorder the terms: -6(-1 + 7x) + -8 = -2x + 38 (-1 * -6 + 7x * -6) + -8 = -2x + 38 (6 + -42x) + -8 = -2x + 38 Reorder the terms: 6 + -8 + -42x = -2x + 38 Combine like terms: 6 + -8 = -2 -2 + -42x = -2x + 38 Reorder the terms: -2 + -42x = 38 + -2x Solving -2 + -42x = 38 + -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. -2 + -42x + 2x = 38 + -2x + 2x Combine like terms: -42x + 2x = -40x -2 + -40x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -40x = 38 + 0 -2 + -40x = 38 Add '2' to each side of the equation. -2 + 2 + -40x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + -40x = 38 + 2 -40x = 38 + 2 Combine like terms: 38 + 2 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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