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Simplifying -1[5x + -2(3x + 4) + -3(x + 4)] = 0 Reorder the terms: -1[5x + -2(4 + 3x) + -3(x + 4)] = 0 -1[5x + (4 * -2 + 3x * -2) + -3(x + 4)] = 0 -1[5x + (-8 + -6x) + -3(x + 4)] = 0 Reorder the terms: -1[5x + -8 + -6x + -3(4 + x)] = 0 -1[5x + -8 + -6x + (4 * -3 + x * -3)] = 0 -1[5x + -8 + -6x + (-12 + -3x)] = 0 Reorder the terms: -1[-8 + -12 + 5x + -6x + -3x] = 0 Combine like terms: -8 + -12 = -20 -1[-20 + 5x + -6x + -3x] = 0 Combine like terms: 5x + -6x = -1x -1[-20 + -1x + -3x] = 0 Combine like terms: -1x + -3x = -4x -1[-20 + -4x] = 0 [-20 * -1 + -4x * -1] = 0 [20 + 4x] = 0 Solving 20 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 0 + -20 4x = 0 + -20 Combine like terms: 0 + -20 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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