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Simplifying 9x + -1(7x + 7) = 5x + -19 Reorder the terms: 9x + -1(7 + 7x) = 5x + -19 9x + (7 * -1 + 7x * -1) = 5x + -19 9x + (-7 + -7x) = 5x + -19 Reorder the terms: -7 + 9x + -7x = 5x + -19 Combine like terms: 9x + -7x = 2x -7 + 2x = 5x + -19 Reorder the terms: -7 + 2x = -19 + 5x Solving -7 + 2x = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 2x + -5x = -19 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = -19 + 0 -7 + -3x = -19 Add '7' to each side of the equation. -7 + 7 + -3x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -19 + 7 -3x = -19 + 7 Combine like terms: -19 + 7 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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