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Simplifying -38 + -4x = 4x + -3(2 + 8x) -38 + -4x = 4x + (2 * -3 + 8x * -3) -38 + -4x = 4x + (-6 + -24x) Reorder the terms: -38 + -4x = -6 + 4x + -24x Combine like terms: 4x + -24x = -20x -38 + -4x = -6 + -20x Solving -38 + -4x = -6 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -38 + -4x + 20x = -6 + -20x + 20x Combine like terms: -4x + 20x = 16x -38 + 16x = -6 + -20x + 20x Combine like terms: -20x + 20x = 0 -38 + 16x = -6 + 0 -38 + 16x = -6 Add '38' to each side of the equation. -38 + 38 + 16x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 16x = -6 + 38 16x = -6 + 38 Combine like terms: -6 + 38 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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