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Simplifying 6(4x + -8) + 7 = 25x + -41 Reorder the terms: 6(-8 + 4x) + 7 = 25x + -41 (-8 * 6 + 4x * 6) + 7 = 25x + -41 (-48 + 24x) + 7 = 25x + -41 Reorder the terms: -48 + 7 + 24x = 25x + -41 Combine like terms: -48 + 7 = -41 -41 + 24x = 25x + -41 Reorder the terms: -41 + 24x = -41 + 25x Add '41' to each side of the equation. -41 + 41 + 24x = -41 + 41 + 25x Combine like terms: -41 + 41 = 0 0 + 24x = -41 + 41 + 25x 24x = -41 + 41 + 25x Combine like terms: -41 + 41 = 0 24x = 0 + 25x 24x = 25x Solving 24x = 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 24x + -25x = 25x + -25x Combine like terms: 24x + -25x = -1x -1x = 25x + -25x Combine like terms: 25x + -25x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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