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Simplifying 6(6x + 7) = -36 + -3x Reorder the terms: 6(7 + 6x) = -36 + -3x (7 * 6 + 6x * 6) = -36 + -3x (42 + 36x) = -36 + -3x Solving 42 + 36x = -36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + 36x + 3x = -36 + -3x + 3x Combine like terms: 36x + 3x = 39x 42 + 39x = -36 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 39x = -36 + 0 42 + 39x = -36 Add '-42' to each side of the equation. 42 + -42 + 39x = -36 + -42 Combine like terms: 42 + -42 = 0 0 + 39x = -36 + -42 39x = -36 + -42 Combine like terms: -36 + -42 = -78 39x = -78 Divide each side by '39'. x = -2 Simplifying x = -2
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