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Simplifying -44 = 5(1 + 4x) + 3(x + -1) -44 = (1 * 5 + 4x * 5) + 3(x + -1) -44 = (5 + 20x) + 3(x + -1) Reorder the terms: -44 = 5 + 20x + 3(-1 + x) -44 = 5 + 20x + (-1 * 3 + x * 3) -44 = 5 + 20x + (-3 + 3x) Reorder the terms: -44 = 5 + -3 + 20x + 3x Combine like terms: 5 + -3 = 2 -44 = 2 + 20x + 3x Combine like terms: 20x + 3x = 23x -44 = 2 + 23x Solving -44 = 2 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -44 + -23x = 2 + 23x + -23x Combine like terms: 23x + -23x = 0 -44 + -23x = 2 + 0 -44 + -23x = 2 Add '44' to each side of the equation. -44 + 44 + -23x = 2 + 44 Combine like terms: -44 + 44 = 0 0 + -23x = 2 + 44 -23x = 2 + 44 Combine like terms: 2 + 44 = 46 -23x = 46 Divide each side by '-23'. x = -2 Simplifying x = -2
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