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Simplifying -1(4 + -5x) = 7x + -3(3x + -9) (4 * -1 + -5x * -1) = 7x + -3(3x + -9) (-4 + 5x) = 7x + -3(3x + -9) Reorder the terms: -4 + 5x = 7x + -3(-9 + 3x) -4 + 5x = 7x + (-9 * -3 + 3x * -3) -4 + 5x = 7x + (27 + -9x) Reorder the terms: -4 + 5x = 27 + 7x + -9x Combine like terms: 7x + -9x = -2x -4 + 5x = 27 + -2x Solving -4 + 5x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 5x + 2x = 27 + -2x + 2x Combine like terms: 5x + 2x = 7x -4 + 7x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 7x = 27 + 0 -4 + 7x = 27 Add '4' to each side of the equation. -4 + 4 + 7x = 27 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 27 + 4 7x = 27 + 4 Combine like terms: 27 + 4 = 31 7x = 31 Divide each side by '7'. x = 4.428571429 Simplifying x = 4.428571429
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