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Simplifying 5(7x + 2) = -4x + -43 Reorder the terms: 5(2 + 7x) = -4x + -43 (2 * 5 + 7x * 5) = -4x + -43 (10 + 35x) = -4x + -43 Reorder the terms: 10 + 35x = -43 + -4x Solving 10 + 35x = -43 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 35x + 4x = -43 + -4x + 4x Combine like terms: 35x + 4x = 39x 10 + 39x = -43 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 39x = -43 + 0 10 + 39x = -43 Add '-10' to each side of the equation. 10 + -10 + 39x = -43 + -10 Combine like terms: 10 + -10 = 0 0 + 39x = -43 + -10 39x = -43 + -10 Combine like terms: -43 + -10 = -53 39x = -53 Divide each side by '39'. x = -1.358974359 Simplifying x = -1.358974359
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