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Simplifying 46 + -1(5x + 3) = 5(x + 2) + x Reorder the terms: 46 + -1(3 + 5x) = 5(x + 2) + x 46 + (3 * -1 + 5x * -1) = 5(x + 2) + x 46 + (-3 + -5x) = 5(x + 2) + x Combine like terms: 46 + -3 = 43 43 + -5x = 5(x + 2) + x Reorder the terms: 43 + -5x = 5(2 + x) + x 43 + -5x = (2 * 5 + x * 5) + x 43 + -5x = (10 + 5x) + x Combine like terms: 5x + x = 6x 43 + -5x = 10 + 6x Solving 43 + -5x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 43 + -5x + -6x = 10 + 6x + -6x Combine like terms: -5x + -6x = -11x 43 + -11x = 10 + 6x + -6x Combine like terms: 6x + -6x = 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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