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Simplifying 25 + -2(4x + 2) = 7x + -6(4x + -2) Reorder the terms: 25 + -2(2 + 4x) = 7x + -6(4x + -2) 25 + (2 * -2 + 4x * -2) = 7x + -6(4x + -2) 25 + (-4 + -8x) = 7x + -6(4x + -2) Combine like terms: 25 + -4 = 21 21 + -8x = 7x + -6(4x + -2) Reorder the terms: 21 + -8x = 7x + -6(-2 + 4x) 21 + -8x = 7x + (-2 * -6 + 4x * -6) 21 + -8x = 7x + (12 + -24x) Reorder the terms: 21 + -8x = 12 + 7x + -24x Combine like terms: 7x + -24x = -17x 21 + -8x = 12 + -17x Solving 21 + -8x = 12 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 21 + -8x + 17x = 12 + -17x + 17x Combine like terms: -8x + 17x = 9x 21 + 9x = 12 + -17x + 17x Combine like terms: -17x + 17x = 0 21 + 9x = 12 + 0 21 + 9x = 12 Add '-21' to each side of the equation. 21 + -21 + 9x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 12 + -21 9x = 12 + -21 Combine like terms: 12 + -21 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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