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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 = 1x -17 + 1x = -1(-2 + 5x) + -1x -17 + 1x = (-2 * -1 + 5x * -1) + -1x -17 + 1x = (2 + -5x) + -1x Combine like terms: -5x + -1x = -6x -17 + 1x = 2 + -6x Solving -17 + 1x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + 1x + 6x = 2 + -6x + 6x Combine like terms: 1x + 6x = 7x -17 + 7x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 7x = 2 + 0 -17 + 7x = 2 Add '17' to each side of the equation. -17 + 17 + 7x = 2 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 2 + 17 7x = 2 + 17 Combine like terms: 2 + 17 = 19 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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