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Simplifying 4x + -1(9x + 5) = 9x + -19 Reorder the terms: 4x + -1(5 + 9x) = 9x + -19 4x + (5 * -1 + 9x * -1) = 9x + -19 4x + (-5 + -9x) = 9x + -19 Reorder the terms: -5 + 4x + -9x = 9x + -19 Combine like terms: 4x + -9x = -5x -5 + -5x = 9x + -19 Reorder the terms: -5 + -5x = -19 + 9x Solving -5 + -5x = -19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + -5x + -9x = -19 + 9x + -9x Combine like terms: -5x + -9x = -14x -5 + -14x = -19 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -14x = -19 + 0 -5 + -14x = -19 Add '5' to each side of the equation. -5 + 5 + -14x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -14x = -19 + 5 -14x = -19 + 5 Combine like terms: -19 + 5 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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