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Simplifying 7(-6x + 5) = -37 + -6x Reorder the terms: 7(5 + -6x) = -37 + -6x (5 * 7 + -6x * 7) = -37 + -6x (35 + -42x) = -37 + -6x Solving 35 + -42x = -37 + -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. 35 + -42x + 6x = -37 + -6x + 6x Combine like terms: -42x + 6x = -36x 35 + -36x = -37 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + -36x = -37 + 0 35 + -36x = -37 Add '-35' to each side of the equation. 35 + -35 + -36x = -37 + -35 Combine like terms: 35 + -35 = 0 0 + -36x = -37 + -35 -36x = -37 + -35 Combine like terms: -37 + -35 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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