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Simplifying -6(1 + 7x) = -8x + -40 (1 * -6 + 7x * -6) = -8x + -40 (-6 + -42x) = -8x + -40 Reorder the terms: -6 + -42x = -40 + -8x Solving -6 + -42x = -40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + -42x + 8x = -40 + -8x + 8x Combine like terms: -42x + 8x = -34x -6 + -34x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + -34x = -40 + 0 -6 + -34x = -40 Add '6' to each side of the equation. -6 + 6 + -34x = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -34x = -40 + 6 -34x = -40 + 6 Combine like terms: -40 + 6 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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