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Simplifying 0.5(x + -4) + -3 = 3 + -1(2n + 3) Reorder the terms: 0.5(-4 + x) + -3 = 3 + -1(2n + 3) (-4 * 0.5 + x * 0.5) + -3 = 3 + -1(2n + 3) (-2 + 0.5x) + -3 = 3 + -1(2n + 3) Reorder the terms: -2 + -3 + 0.5x = 3 + -1(2n + 3) Combine like terms: -2 + -3 = -5 -5 + 0.5x = 3 + -1(2n + 3) Reorder the terms: -5 + 0.5x = 3 + -1(3 + 2n) -5 + 0.5x = 3 + (3 * -1 + 2n * -1) -5 + 0.5x = 3 + (-3 + -2n) Combine like terms: 3 + -3 = 0 -5 + 0.5x = 0 + -2n -5 + 0.5x = -2n Solving -5 + 0.5x = -2n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 0.5x = 5 + -2n Combine like terms: -5 + 5 = 0 0 + 0.5x = 5 + -2n 0.5x = 5 + -2n Divide each side by '0.5'. x = 10 + -4n Simplifying x = 10 + -4n
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