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Simplifying -7(1 + -7x) = 6(1 + 8x) (1 * -7 + -7x * -7) = 6(1 + 8x) (-7 + 49x) = 6(1 + 8x) -7 + 49x = (1 * 6 + 8x * 6) -7 + 49x = (6 + 48x) Solving -7 + 49x = 6 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -7 + 49x + -48x = 6 + 48x + -48x Combine like terms: 49x + -48x = 1x -7 + 1x = 6 + 48x + -48x Combine like terms: 48x + -48x = 0 -7 + 1x = 6 + 0 -7 + 1x = 6 Add '7' to each side of the equation. -7 + 7 + 1x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 6 + 7 1x = 6 + 7 Combine like terms: 6 + 7 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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