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Simplifying X + -1[4 + -1(3x + 9) + -4] = x + -1[8 + 4(6x + 18) + -8] + 0 Reorder the terms: X + -1[4 + -1(9 + 3x) + -4] = x + -1[8 + 4(6x + 18) + -8] + 0 X + -1[4 + (9 * -1 + 3x * -1) + -4] = x + -1[8 + 4(6x + 18) + -8] + 0 X + -1[4 + (-9 + -3x) + -4] = x + -1[8 + 4(6x + 18) + -8] + 0 Reorder the terms: X + -1[4 + -9 + -4 + -3x] = x + -1[8 + 4(6x + 18) + -8] + 0 Combine like terms: 4 + -9 = -5 X + -1[-5 + -4 + -3x] = x + -1[8 + 4(6x + 18) + -8] + 0 Combine like terms: -5 + -4 = -9 X + -1[-9 + -3x] = x + -1[8 + 4(6x + 18) + -8] + 0 X + [-9 * -1 + -3x * -1] = x + -1[8 + 4(6x + 18) + -8] + 0 X + [9 + 3x] = x + -1[8 + 4(6x + 18) + -8] + 0 Reorder the terms: 9 + X + 3x = x + -1[8 + 4(6x + 18) + -8] + 0 Reorder the terms: 9 + X + 3x = x + -1[8 + 4(18 + 6x) + -8] + 0 9 + X + 3x = x + -1[8 + (18 * 4 + 6x * 4) + -8] + 0 9 + X + 3x = x + -1[8 + (72 + 24x) + -8] + 0 Reorder the terms: 9 + X + 3x = x + -1[8 + 72 + -8 + 24x] + 0 Combine like terms: 8 + 72 = 80 9 + X + 3x = x + -1[80 + -8 + 24x] + 0 Combine like terms: 80 + -8 = 72 9 + X + 3x = x + -1[72 + 24x] + 0 9 + X + 3x = x + [72 * -1 + 24x * -1] + 0 9 + X + 3x = x + [-72 + -24x] + 0 Reorder the terms: 9 + X + 3x = -72 + 0 + x + -24x Combine like terms: -72 + 0 = -72 9 + X + 3x = -72 + x + -24x Combine like terms: x + -24x = -23x 9 + X + 3x = -72 + -23x Solving 9 + X + 3x = -72 + -23x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + X + -9 + 3x = -72 + -9 + -23x Reorder the terms: 9 + -9 + X + 3x = -72 + -9 + -23x Combine like terms: 9 + -9 = 0 0 + X + 3x = -72 + -9 + -23x X + 3x = -72 + -9 + -23x Combine like terms: -72 + -9 = -81 X + 3x = -81 + -23x Add '-3x' to each side of the equation. X + 3x + -3x = -81 + -23x + -3x Combine like terms: 3x + -3x = 0 X + 0 = -81 + -23x + -3x X = -81 + -23x + -3x Combine like terms: -23x + -3x = -26x X = -81 + -26x Simplifying X = -81 + -26x
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