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Simplifying -2(4x + 1) = 5x + 24 Reorder the terms: -2(1 + 4x) = 5x + 24 (1 * -2 + 4x * -2) = 5x + 24 (-2 + -8x) = 5x + 24 Reorder the terms: -2 + -8x = 24 + 5x Solving -2 + -8x = 24 + 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. -2 + -8x + -5x = 24 + 5x + -5x Combine like terms: -8x + -5x = -13x -2 + -13x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -13x = 24 + 0 -2 + -13x = 24 Add '2' to each side of the equation. -2 + 2 + -13x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = 24 + 2 -13x = 24 + 2 Combine like terms: 24 + 2 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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