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Simplifying 7x + -43 = -14 + -1(-6) Reorder the terms: -43 + 7x = -14 + -1(-6) Multiply -1 * -6 -43 + 7x = -14 + 6 Combine like terms: -14 + 6 = -8 -43 + 7x = -8 Solving -43 + 7x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 7x = -8 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = -8 + 43 7x = -8 + 43 Combine like terms: -8 + 43 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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