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Simplifying 7x + -25 = -6(4 + -1x) + 1 Reorder the terms: -25 + 7x = -6(4 + -1x) + 1 -25 + 7x = (4 * -6 + -1x * -6) + 1 -25 + 7x = (-24 + 6x) + 1 Reorder the terms: -25 + 7x = -24 + 1 + 6x Combine like terms: -24 + 1 = -23 -25 + 7x = -23 + 6x Solving -25 + 7x = -23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 7x + -6x = -23 + 6x + -6x Combine like terms: 7x + -6x = 1x -25 + 1x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 1x = -23 + 0 -25 + 1x = -23 Add '25' to each side of the equation. -25 + 25 + 1x = -23 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -23 + 25 1x = -23 + 25 Combine like terms: -23 + 25 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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