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Simplifying -24 + -4x = 8(5x + -3) + -2x Reorder the terms: -24 + -4x = 8(-3 + 5x) + -2x -24 + -4x = (-3 * 8 + 5x * 8) + -2x -24 + -4x = (-24 + 40x) + -2x Combine like terms: 40x + -2x = 38x -24 + -4x = -24 + 38x Add '24' to each side of the equation. -24 + 24 + -4x = -24 + 24 + 38x Combine like terms: -24 + 24 = 0 0 + -4x = -24 + 24 + 38x -4x = -24 + 24 + 38x Combine like terms: -24 + 24 = 0 -4x = 0 + 38x -4x = 38x Solving -4x = 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -4x + -38x = 38x + -38x Combine like terms: -4x + -38x = -42x -42x = 38x + -38x Combine like terms: 38x + -38x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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