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Simplifying 5x + 43 = -2(1 + -7x) Reorder the terms: 43 + 5x = -2(1 + -7x) 43 + 5x = (1 * -2 + -7x * -2) 43 + 5x = (-2 + 14x) Solving 43 + 5x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 43 + 5x + -14x = -2 + 14x + -14x Combine like terms: 5x + -14x = -9x 43 + -9x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 43 + -9x = -2 + 0 43 + -9x = -2 Add '-43' to each side of the equation. 43 + -43 + -9x = -2 + -43 Combine like terms: 43 + -43 = 0 0 + -9x = -2 + -43 -9x = -2 + -43 Combine like terms: -2 + -43 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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