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Simplifying 9x + -1(2x + 4) = 5x + -12 Reorder the terms: 9x + -1(4 + 2x) = 5x + -12 9x + (4 * -1 + 2x * -1) = 5x + -12 9x + (-4 + -2x) = 5x + -12 Reorder the terms: -4 + 9x + -2x = 5x + -12 Combine like terms: 9x + -2x = 7x -4 + 7x = 5x + -12 Reorder the terms: -4 + 7x = -12 + 5x Solving -4 + 7x = -12 + 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. -4 + 7x + -5x = -12 + 5x + -5x Combine like terms: 7x + -5x = 2x -4 + 2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 2x = -12 + 0 -4 + 2x = -12 Add '4' to each side of the equation. -4 + 4 + 2x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -12 + 4 2x = -12 + 4 Combine like terms: -12 + 4 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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