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Simplifying -9x + 7(2x + -4) = -19 + -4x Reorder the terms: -9x + 7(-4 + 2x) = -19 + -4x -9x + (-4 * 7 + 2x * 7) = -19 + -4x -9x + (-28 + 14x) = -19 + -4x Reorder the terms: -28 + -9x + 14x = -19 + -4x Combine like terms: -9x + 14x = 5x -28 + 5x = -19 + -4x Solving -28 + 5x = -19 + -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. -28 + 5x + 4x = -19 + -4x + 4x Combine like terms: 5x + 4x = 9x -28 + 9x = -19 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 9x = -19 + 0 -28 + 9x = -19 Add '28' to each side of the equation. -28 + 28 + 9x = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = -19 + 28 9x = -19 + 28 Combine like terms: -19 + 28 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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