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Simplifying 3(X + -5) + -4(2x + -4) = 2(x + -11) Reorder the terms: 3(-5 + X) + -4(2x + -4) = 2(x + -11) (-5 * 3 + X * 3) + -4(2x + -4) = 2(x + -11) (-15 + 3X) + -4(2x + -4) = 2(x + -11) Reorder the terms: -15 + 3X + -4(-4 + 2x) = 2(x + -11) -15 + 3X + (-4 * -4 + 2x * -4) = 2(x + -11) -15 + 3X + (16 + -8x) = 2(x + -11) Reorder the terms: -15 + 16 + 3X + -8x = 2(x + -11) Combine like terms: -15 + 16 = 1 1 + 3X + -8x = 2(x + -11) Reorder the terms: 1 + 3X + -8x = 2(-11 + x) 1 + 3X + -8x = (-11 * 2 + x * 2) 1 + 3X + -8x = (-22 + 2x) Solving 1 + 3X + -8x = -22 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3X + -1 + -8x = -22 + -1 + 2x Reorder the terms: 1 + -1 + 3X + -8x = -22 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 3X + -8x = -22 + -1 + 2x 3X + -8x = -22 + -1 + 2x Combine like terms: -22 + -1 = -23 3X + -8x = -23 + 2x Add '8x' to each side of the equation. 3X + -8x + 8x = -23 + 2x + 8x Combine like terms: -8x + 8x = 0 3X + 0 = -23 + 2x + 8x 3X = -23 + 2x + 8x Combine like terms: 2x + 8x = 10x 3X = -23 + 10x Divide each side by '3'. X = -7.666666667 + 3.333333333x Simplifying X = -7.666666667 + 3.333333333x
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