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Simplifying 2x + -1(9x + 5) = 4x + -49 Reorder the terms: 2x + -1(5 + 9x) = 4x + -49 2x + (5 * -1 + 9x * -1) = 4x + -49 2x + (-5 + -9x) = 4x + -49 Reorder the terms: -5 + 2x + -9x = 4x + -49 Combine like terms: 2x + -9x = -7x -5 + -7x = 4x + -49 Reorder the terms: -5 + -7x = -49 + 4x Solving -5 + -7x = -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 + -7x + -4x = -49 + 4x + -4x Combine like terms: -7x + -4x = -11x -5 + -11x = -49 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -11x = -49 + 0 -5 + -11x = -49 Add '5' to each side of the equation. -5 + 5 + -11x = -49 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -49 + 5 -11x = -49 + 5 Combine like terms: -49 + 5 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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