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Simplifying -1 + 5x = 6(-6x + -7) Reorder the terms: -1 + 5x = 6(-7 + -6x) -1 + 5x = (-7 * 6 + -6x * 6) -1 + 5x = (-42 + -36x) Solving -1 + 5x = -42 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -1 + 5x + 36x = -42 + -36x + 36x Combine like terms: 5x + 36x = 41x -1 + 41x = -42 + -36x + 36x Combine like terms: -36x + 36x = 0 -1 + 41x = -42 + 0 -1 + 41x = -42 Add '1' to each side of the equation. -1 + 1 + 41x = -42 + 1 Combine like terms: -1 + 1 = 0 0 + 41x = -42 + 1 41x = -42 + 1 Combine like terms: -42 + 1 = -41 41x = -41 Divide each side by '41'. x = -1 Simplifying x = -1
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