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Simplifying -1(9 + -3x) + -1(4 + -2x) + -4 = -1(2 + -5x) + -1x (9 * -1 + -3x * -1) + -1(4 + -2x) + -4 = -1(2 + -5x) + -1x (-9 + 3x) + -1(4 + -2x) + -4 = -1(2 + -5x) + -1x -9 + 3x + (4 * -1 + -2x * -1) + -4 = -1(2 + -5x) + -1x -9 + 3x + (-4 + 2x) + -4 = -1(2 + -5x) + -1x Reorder the terms: -9 + -4 + -4 + 3x + 2x = -1(2 + -5x) + -1x Combine like terms: -9 + -4 = -13 -13 + -4 + 3x + 2x = -1(2 + -5x) + -1x Combine like terms: -13 + -4 = -17 -17 + 3x + 2x = -1(2 + -5x) + -1x Combine like terms: 3x + 2x = 5x -17 + 5x = -1(2 + -5x) + -1x -17 + 5x = (2 * -1 + -5x * -1) + -1x -17 + 5x = (-2 + 5x) + -1x Combine like terms: 5x + -1x = 4x -17 + 5x = -2 + 4x Solving -17 + 5x = -2 + 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. -17 + 5x + -4x = -2 + 4x + -4x Combine like terms: 5x + -4x = 1x -17 + 1x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 1x = -2 + 0 -17 + 1x = -2 Add '17' to each side of the equation. -17 + 17 + 1x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -2 + 17 1x = -2 + 17 Combine like terms: -2 + 17 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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