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Simplifying 6(-7 + 6x) = -1(x + 5) (-7 * 6 + 6x * 6) = -1(x + 5) (-42 + 36x) = -1(x + 5) Reorder the terms: -42 + 36x = -1(5 + x) -42 + 36x = (5 * -1 + x * -1) -42 + 36x = (-5 + -1x) Solving -42 + 36x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -42 + 36x + x = -5 + -1x + x Combine like terms: 36x + x = 37x -42 + 37x = -5 + -1x + x Combine like terms: -1x + x = 0 -42 + 37x = -5 + 0 -42 + 37x = -5 Add '42' to each side of the equation. -42 + 42 + 37x = -5 + 42 Combine like terms: -42 + 42 = 0 0 + 37x = -5 + 42 37x = -5 + 42 Combine like terms: -5 + 42 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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