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Simplifying 4 + -1[8(x + -3) + -5(2X + 9)] = 13 Reorder the terms: 4 + -1[8(-3 + x) + -5(2X + 9)] = 13 4 + -1[(-3 * 8 + x * 8) + -5(2X + 9)] = 13 4 + -1[(-24 + 8x) + -5(2X + 9)] = 13 Reorder the terms: 4 + -1[-24 + 8x + -5(9 + 2X)] = 13 4 + -1[-24 + 8x + (9 * -5 + 2X * -5)] = 13 4 + -1[-24 + 8x + (-45 + -10X)] = 13 Reorder the terms: 4 + -1[-24 + -45 + -10X + 8x] = 13 Combine like terms: -24 + -45 = -69 4 + -1[-69 + -10X + 8x] = 13 4 + [-69 * -1 + -10X * -1 + 8x * -1] = 13 4 + [69 + 10X + -8x] = 13 Combine like terms: 4 + 69 = 73 73 + 10X + -8x = 13 Solving 73 + 10X + -8x = 13 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + 10X + -73 + -8x = 13 + -73 Reorder the terms: 73 + -73 + 10X + -8x = 13 + -73 Combine like terms: 73 + -73 = 0 0 + 10X + -8x = 13 + -73 10X + -8x = 13 + -73 Combine like terms: 13 + -73 = -60 10X + -8x = -60 Add '8x' to each side of the equation. 10X + -8x + 8x = -60 + 8x Combine like terms: -8x + 8x = 0 10X + 0 = -60 + 8x 10X = -60 + 8x Divide each side by '10'. X = -6 + 0.8x Simplifying X = -6 + 0.8x
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