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Simplifying 2x + -3[3(x + 7) + -1(x + -9)] + -2 = 0 Reorder the terms: 2x + -3[3(7 + x) + -1(x + -9)] + -2 = 0 2x + -3[(7 * 3 + x * 3) + -1(x + -9)] + -2 = 0 2x + -3[(21 + 3x) + -1(x + -9)] + -2 = 0 Reorder the terms: 2x + -3[21 + 3x + -1(-9 + x)] + -2 = 0 2x + -3[21 + 3x + (-9 * -1 + x * -1)] + -2 = 0 2x + -3[21 + 3x + (9 + -1x)] + -2 = 0 Reorder the terms: 2x + -3[21 + 9 + 3x + -1x] + -2 = 0 Combine like terms: 21 + 9 = 30 2x + -3[30 + 3x + -1x] + -2 = 0 Combine like terms: 3x + -1x = 2x 2x + -3[30 + 2x] + -2 = 0 2x + [30 * -3 + 2x * -3] + -2 = 0 2x + [-90 + -6x] + -2 = 0 Reorder the terms: -90 + -2 + 2x + -6x = 0 Combine like terms: -90 + -2 = -92 -92 + 2x + -6x = 0 Combine like terms: 2x + -6x = -4x -92 + -4x = 0 Solving -92 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '92' to each side of the equation. -92 + 92 + -4x = 0 + 92 Combine like terms: -92 + 92 = 0 0 + -4x = 0 + 92 -4x = 0 + 92 Combine like terms: 0 + 92 = 92 -4x = 92 Divide each side by '-4'. x = -23 Simplifying x = -23
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