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Simplifying 4(x + -5) + 2 = 5 + 2n + -18 Reorder the terms: 4(-5 + x) + 2 = 5 + 2n + -18 (-5 * 4 + x * 4) + 2 = 5 + 2n + -18 (-20 + 4x) + 2 = 5 + 2n + -18 Reorder the terms: -20 + 2 + 4x = 5 + 2n + -18 Combine like terms: -20 + 2 = -18 -18 + 4x = 5 + 2n + -18 Reorder the terms: -18 + 4x = 5 + -18 + 2n Combine like terms: 5 + -18 = -13 -18 + 4x = -13 + 2n Solving -18 + 4x = -13 + 2n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 4x = -13 + 18 + 2n Combine like terms: -18 + 18 = 0 0 + 4x = -13 + 18 + 2n 4x = -13 + 18 + 2n Combine like terms: -13 + 18 = 5 4x = 5 + 2n Divide each side by '4'. x = 1.25 + 0.5n Simplifying x = 1.25 + 0.5n
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