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Simplifying 3[3(4x + -7) + -4(2x + -7)] = 11x + 25 Reorder the terms: 3[3(-7 + 4x) + -4(2x + -7)] = 11x + 25 3[(-7 * 3 + 4x * 3) + -4(2x + -7)] = 11x + 25 3[(-21 + 12x) + -4(2x + -7)] = 11x + 25 Reorder the terms: 3[-21 + 12x + -4(-7 + 2x)] = 11x + 25 3[-21 + 12x + (-7 * -4 + 2x * -4)] = 11x + 25 3[-21 + 12x + (28 + -8x)] = 11x + 25 Reorder the terms: 3[-21 + 28 + 12x + -8x] = 11x + 25 Combine like terms: -21 + 28 = 7 3[7 + 12x + -8x] = 11x + 25 Combine like terms: 12x + -8x = 4x 3[7 + 4x] = 11x + 25 [7 * 3 + 4x * 3] = 11x + 25 [21 + 12x] = 11x + 25 Reorder the terms: 21 + 12x = 25 + 11x Solving 21 + 12x = 25 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 21 + 12x + -11x = 25 + 11x + -11x Combine like terms: 12x + -11x = 1x 21 + 1x = 25 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + 1x = 25 + 0 21 + 1x = 25 Add '-21' to each side of the equation. 21 + -21 + 1x = 25 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 25 + -21 1x = 25 + -21 Combine like terms: 25 + -21 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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