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Simplifying 4[3 + -2(x + 4)] + -1(X + 3) = 13 Reorder the terms: 4[3 + -2(4 + x)] + -1(X + 3) = 13 4[3 + (4 * -2 + x * -2)] + -1(X + 3) = 13 4[3 + (-8 + -2x)] + -1(X + 3) = 13 Combine like terms: 3 + -8 = -5 4[-5 + -2x] + -1(X + 3) = 13 [-5 * 4 + -2x * 4] + -1(X + 3) = 13 [-20 + -8x] + -1(X + 3) = 13 Reorder the terms: -20 + -8x + -1(3 + X) = 13 -20 + -8x + (3 * -1 + X * -1) = 13 -20 + -8x + (-3 + -1X) = 13 Reorder the terms: -20 + -3 + -1X + -8x = 13 Combine like terms: -20 + -3 = -23 -23 + -1X + -8x = 13 Solving -23 + -1X + -8x = 13 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '23' to each side of the equation. -23 + -1X + 23 + -8x = 13 + 23 Reorder the terms: -23 + 23 + -1X + -8x = 13 + 23 Combine like terms: -23 + 23 = 0 0 + -1X + -8x = 13 + 23 -1X + -8x = 13 + 23 Combine like terms: 13 + 23 = 36 -1X + -8x = 36 Add '8x' to each side of the equation. -1X + -8x + 8x = 36 + 8x Combine like terms: -8x + 8x = 0 -1X + 0 = 36 + 8x -1X = 36 + 8x Divide each side by '-1'. X = -36 + -8x Simplifying X = -36 + -8x
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