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Simplifying -6x + 43 = 5(x + 2) Reorder the terms: 43 + -6x = 5(x + 2) Reorder the terms: 43 + -6x = 5(2 + x) 43 + -6x = (2 * 5 + x * 5) 43 + -6x = (10 + 5x) Solving 43 + -6x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 43 + -6x + -5x = 10 + 5x + -5x Combine like terms: -6x + -5x = -11x 43 + -11x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -11x = 10 + 0 43 + -11x = 10 Add '-43' to each side of the equation. 43 + -43 + -11x = 10 + -43 Combine like terms: 43 + -43 = 0 0 + -11x = 10 + -43 -11x = 10 + -43 Combine like terms: 10 + -43 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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