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Simplifying 7x + -3[2(x + 7) + -1(x + -9)] + -9 = 0 Reorder the terms: 7x + -3[2(7 + x) + -1(x + -9)] + -9 = 0 7x + -3[(7 * 2 + x * 2) + -1(x + -9)] + -9 = 0 7x + -3[(14 + 2x) + -1(x + -9)] + -9 = 0 Reorder the terms: 7x + -3[14 + 2x + -1(-9 + x)] + -9 = 0 7x + -3[14 + 2x + (-9 * -1 + x * -1)] + -9 = 0 7x + -3[14 + 2x + (9 + -1x)] + -9 = 0 Reorder the terms: 7x + -3[14 + 9 + 2x + -1x] + -9 = 0 Combine like terms: 14 + 9 = 23 7x + -3[23 + 2x + -1x] + -9 = 0 Combine like terms: 2x + -1x = 1x 7x + -3[23 + 1x] + -9 = 0 7x + [23 * -3 + 1x * -3] + -9 = 0 7x + [-69 + -3x] + -9 = 0 Reorder the terms: -69 + -9 + 7x + -3x = 0 Combine like terms: -69 + -9 = -78 -78 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x -78 + 4x = 0 Solving -78 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 4x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 4x = 0 + 78 4x = 0 + 78 Combine like terms: 0 + 78 = 78 4x = 78 Divide each side by '4'. x = 19.5 Simplifying x = 19.5
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