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Simplifying x + -3 + -2[x + 4(x + 2) + -3] = 25 Reorder the terms: x + -3 + -2[x + 4(2 + x) + -3] = 25 x + -3 + -2[x + (2 * 4 + x * 4) + -3] = 25 x + -3 + -2[x + (8 + 4x) + -3] = 25 Reorder the terms: x + -3 + -2[8 + -3 + x + 4x] = 25 Combine like terms: 8 + -3 = 5 x + -3 + -2[5 + x + 4x] = 25 Combine like terms: x + 4x = 5x x + -3 + -2[5 + 5x] = 25 x + -3 + [5 * -2 + 5x * -2] = 25 x + -3 + [-10 + -10x] = 25 Reorder the terms: -3 + -10 + x + -10x = 25 Combine like terms: -3 + -10 = -13 -13 + x + -10x = 25 Combine like terms: x + -10x = -9x -13 + -9x = 25 Solving -13 + -9x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -9x = 25 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = 25 + 13 -9x = 25 + 13 Combine like terms: 25 + 13 = 38 -9x = 38 Divide each side by '-9'. x = -4.222222222 Simplifying x = -4.222222222
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