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Simplifying 4x + -1(2x + 5) = 4x + -49 Reorder the terms: 4x + -1(5 + 2x) = 4x + -49 4x + (5 * -1 + 2x * -1) = 4x + -49 4x + (-5 + -2x) = 4x + -49 Reorder the terms: -5 + 4x + -2x = 4x + -49 Combine like terms: 4x + -2x = 2x -5 + 2x = 4x + -49 Reorder the terms: -5 + 2x = -49 + 4x Solving -5 + 2x = -49 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 2x + -4x = -49 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = -49 + 0 -5 + -2x = -49 Add '5' to each side of the equation. -5 + 5 + -2x = -49 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -49 + 5 -2x = -49 + 5 Combine like terms: -49 + 5 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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