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Simplifying (2x + -1) + -1(5 + -3x) = 2(x + 10) + -44 Reorder the terms: (-1 + 2x) + -1(5 + -3x) = 2(x + 10) + -44 Remove parenthesis around (-1 + 2x) -1 + 2x + -1(5 + -3x) = 2(x + 10) + -44 -1 + 2x + (5 * -1 + -3x * -1) = 2(x + 10) + -44 -1 + 2x + (-5 + 3x) = 2(x + 10) + -44 Reorder the terms: -1 + -5 + 2x + 3x = 2(x + 10) + -44 Combine like terms: -1 + -5 = -6 -6 + 2x + 3x = 2(x + 10) + -44 Combine like terms: 2x + 3x = 5x -6 + 5x = 2(x + 10) + -44 Reorder the terms: -6 + 5x = 2(10 + x) + -44 -6 + 5x = (10 * 2 + x * 2) + -44 -6 + 5x = (20 + 2x) + -44 Reorder the terms: -6 + 5x = 20 + -44 + 2x Combine like terms: 20 + -44 = -24 -6 + 5x = -24 + 2x Solving -6 + 5x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 5x + -2x = -24 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = -24 + 0 -6 + 3x = -24 Add '6' to each side of the equation. -6 + 6 + 3x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -24 + 6 3x = -24 + 6 Combine like terms: -24 + 6 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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