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Simplifying (-2x + 4)(-2) = -3x + 9 Reorder the terms: (4 + -2x)(-2) = -3x + 9 Reorder the terms for easier multiplication: -2(4 + -2x) = -3x + 9 (4 * -2 + -2x * -2) = -3x + 9 (-8 + 4x) = -3x + 9 Reorder the terms: -8 + 4x = 9 + -3x Solving -8 + 4x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 4x + 3x = 9 + -3x + 3x Combine like terms: 4x + 3x = 7x -8 + 7x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 7x = 9 + 0 -8 + 7x = 9 Add '8' to each side of the equation. -8 + 8 + 7x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 9 + 8 7x = 9 + 8 Combine like terms: 9 + 8 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429
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