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Simplifying -1(9 + -3x) + -1(4 + 2x) + -4 = -1(2 + -5x) + -5 (9 * -1 + -3x * -1) + -1(4 + 2x) + -4 = -1(2 + -5x) + -5 (-9 + 3x) + -1(4 + 2x) + -4 = -1(2 + -5x) + -5 -9 + 3x + (4 * -1 + 2x * -1) + -4 = -1(2 + -5x) + -5 -9 + 3x + (-4 + -2x) + -4 = -1(2 + -5x) + -5 Reorder the terms: -9 + -4 + -4 + 3x + -2x = -1(2 + -5x) + -5 Combine like terms: -9 + -4 = -13 -13 + -4 + 3x + -2x = -1(2 + -5x) + -5 Combine like terms: -13 + -4 = -17 -17 + 3x + -2x = -1(2 + -5x) + -5 Combine like terms: 3x + -2x = 1x -17 + 1x = -1(2 + -5x) + -5 -17 + 1x = (2 * -1 + -5x * -1) + -5 -17 + 1x = (-2 + 5x) + -5 Reorder the terms: -17 + 1x = -2 + -5 + 5x Combine like terms: -2 + -5 = -7 -17 + 1x = -7 + 5x Solving -17 + 1x = -7 + 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. -17 + 1x + -5x = -7 + 5x + -5x Combine like terms: 1x + -5x = -4x -17 + -4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + -4x = -7 + 0 -17 + -4x = -7 Add '17' to each side of the equation. -17 + 17 + -4x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = -7 + 17 -4x = -7 + 17 Combine like terms: -7 + 17 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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