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Simplifying 10(X + -3) = 5(X + -4) Reorder the terms: 10(-3 + X) = 5(X + -4) (-3 * 10 + X * 10) = 5(X + -4) (-30 + 10X) = 5(X + -4) Reorder the terms: -30 + 10X = 5(-4 + X) -30 + 10X = (-4 * 5 + X * 5) -30 + 10X = (-20 + 5X) Solving -30 + 10X = -20 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -30 + 10X + -5X = -20 + 5X + -5X Combine like terms: 10X + -5X = 5X -30 + 5X = -20 + 5X + -5X Combine like terms: 5X + -5X = 0 -30 + 5X = -20 + 0 -30 + 5X = -20 Add '30' to each side of the equation. -30 + 30 + 5X = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 5X = -20 + 30 5X = -20 + 30 Combine like terms: -20 + 30 = 10 5X = 10 Divide each side by '5'. X = 2 Simplifying X = 2
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