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Simplifying -1(1 + 7x) = -6(-7 + -1x) + -36 (1 * -1 + 7x * -1) = -6(-7 + -1x) + -36 (-1 + -7x) = -6(-7 + -1x) + -36 -1 + -7x = (-7 * -6 + -1x * -6) + -36 -1 + -7x = (42 + 6x) + -36 Reorder the terms: -1 + -7x = 42 + -36 + 6x Combine like terms: 42 + -36 = 6 -1 + -7x = 6 + 6x Solving -1 + -7x = 6 + 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. -1 + -7x + -6x = 6 + 6x + -6x Combine like terms: -7x + -6x = -13x -1 + -13x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -13x = 6 + 0 -1 + -13x = 6 Add '1' to each side of the equation. -1 + 1 + -13x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 6 + 1 -13x = 6 + 1 Combine like terms: 6 + 1 = 7 -13x = 7 Divide each side by '-13'. x = -0.5384615385 Simplifying x = -0.5384615385
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