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Simplifying -3 + -6(6x + -7) = 42 + -6x Reorder the terms: -3 + -6(-7 + 6x) = 42 + -6x -3 + (-7 * -6 + 6x * -6) = 42 + -6x -3 + (42 + -36x) = 42 + -6x Combine like terms: -3 + 42 = 39 39 + -36x = 42 + -6x Solving 39 + -36x = 42 + -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. 39 + -36x + 6x = 42 + -6x + 6x Combine like terms: -36x + 6x = -30x 39 + -30x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 39 + -30x = 42 + 0 39 + -30x = 42 Add '-39' to each side of the equation. 39 + -39 + -30x = 42 + -39 Combine like terms: 39 + -39 = 0 0 + -30x = 42 + -39 -30x = 42 + -39 Combine like terms: 42 + -39 = 3 -30x = 3 Divide each side by '-30'. x = -0.1 Simplifying x = -0.1
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