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Simplifying -5(3x + -2) + 7 = 43 Reorder the terms: -5(-2 + 3x) + 7 = 43 (-2 * -5 + 3x * -5) + 7 = 43 (10 + -15x) + 7 = 43 Reorder the terms: 10 + 7 + -15x = 43 Combine like terms: 10 + 7 = 17 17 + -15x = 43 Solving 17 + -15x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -15x = 43 + -17 Combine like terms: 17 + -17 = 0 0 + -15x = 43 + -17 -15x = 43 + -17 Combine like terms: 43 + -17 = 26 -15x = 26 Divide each side by '-15'. x = -1.733333333 Simplifying x = -1.733333333
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