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Simplifying 4(X + 5) = 2(-3X + 5) Reorder the terms: 4(5 + X) = 2(-3X + 5) (5 * 4 + X * 4) = 2(-3X + 5) (20 + 4X) = 2(-3X + 5) Reorder the terms: 20 + 4X = 2(5 + -3X) 20 + 4X = (5 * 2 + -3X * 2) 20 + 4X = (10 + -6X) Solving 20 + 4X = 10 + -6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6X' to each side of the equation. 20 + 4X + 6X = 10 + -6X + 6X Combine like terms: 4X + 6X = 10X 20 + 10X = 10 + -6X + 6X Combine like terms: -6X + 6X = 0 20 + 10X = 10 + 0 20 + 10X = 10 Add '-20' to each side of the equation. 20 + -20 + 10X = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 10X = 10 + -20 10X = 10 + -20 Combine like terms: 10 + -20 = -10 10X = -10 Divide each side by '10'. X = -1 Simplifying X = -1
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