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Simplifying -38 = -6(1 + -6x) + -4(5x + 4) -38 = (1 * -6 + -6x * -6) + -4(5x + 4) -38 = (-6 + 36x) + -4(5x + 4) Reorder the terms: -38 = -6 + 36x + -4(4 + 5x) -38 = -6 + 36x + (4 * -4 + 5x * -4) -38 = -6 + 36x + (-16 + -20x) Reorder the terms: -38 = -6 + -16 + 36x + -20x Combine like terms: -6 + -16 = -22 -38 = -22 + 36x + -20x Combine like terms: 36x + -20x = 16x -38 = -22 + 16x Solving -38 = -22 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -38 + -16x = -22 + 16x + -16x Combine like terms: 16x + -16x = 0 -38 + -16x = -22 + 0 -38 + -16x = -22 Add '38' to each side of the equation. -38 + 38 + -16x = -22 + 38 Combine like terms: -38 + 38 = 0 0 + -16x = -22 + 38 -16x = -22 + 38 Combine like terms: -22 + 38 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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