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Simplifying 4 + 7(6 + 6x) = -36 + x 4 + (6 * 7 + 6x * 7) = -36 + x 4 + (42 + 42x) = -36 + x Combine like terms: 4 + 42 = 46 46 + 42x = -36 + x Solving 46 + 42x = -36 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 46 + 42x + -1x = -36 + x + -1x Combine like terms: 42x + -1x = 41x 46 + 41x = -36 + x + -1x Combine like terms: x + -1x = 0 46 + 41x = -36 + 0 46 + 41x = -36 Add '-46' to each side of the equation. 46 + -46 + 41x = -36 + -46 Combine like terms: 46 + -46 = 0 0 + 41x = -36 + -46 41x = -36 + -46 Combine like terms: -36 + -46 = -82 41x = -82 Divide each side by '41'. x = -2 Simplifying x = -2
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