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Simplifying -6(4x + -4) + 1 = 24x + 25 Reorder the terms: -6(-4 + 4x) + 1 = 24x + 25 (-4 * -6 + 4x * -6) + 1 = 24x + 25 (24 + -24x) + 1 = 24x + 25 Reorder the terms: 24 + 1 + -24x = 24x + 25 Combine like terms: 24 + 1 = 25 25 + -24x = 24x + 25 Reorder the terms: 25 + -24x = 25 + 24x Add '-25' to each side of the equation. 25 + -25 + -24x = 25 + -25 + 24x Combine like terms: 25 + -25 = 0 0 + -24x = 25 + -25 + 24x -24x = 25 + -25 + 24x Combine like terms: 25 + -25 = 0 -24x = 0 + 24x -24x = 24x Solving -24x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24x + -24x = 24x + -24x Combine like terms: -24x + -24x = -48x -48x = 24x + -24x Combine like terms: 24x + -24x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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