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Simplifying -6(-7 + 7x) = 6x + 5(-7x + -1) (-7 * -6 + 7x * -6) = 6x + 5(-7x + -1) (42 + -42x) = 6x + 5(-7x + -1) Reorder the terms: 42 + -42x = 6x + 5(-1 + -7x) 42 + -42x = 6x + (-1 * 5 + -7x * 5) 42 + -42x = 6x + (-5 + -35x) Reorder the terms: 42 + -42x = -5 + 6x + -35x Combine like terms: 6x + -35x = -29x 42 + -42x = -5 + -29x Solving 42 + -42x = -5 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 42 + -42x + 29x = -5 + -29x + 29x Combine like terms: -42x + 29x = -13x 42 + -13x = -5 + -29x + 29x Combine like terms: -29x + 29x = 0 42 + -13x = -5 + 0 42 + -13x = -5 Add '-42' to each side of the equation. 42 + -42 + -13x = -5 + -42 Combine like terms: 42 + -42 = 0 0 + -13x = -5 + -42 -13x = -5 + -42 Combine like terms: -5 + -42 = -47 -13x = -47 Divide each side by '-13'. x = 3.615384615 Simplifying x = 3.615384615
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