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Simplifying 3(X + -5) = 1 + 5(X + 10) Reorder the terms: 3(-5 + X) = 1 + 5(X + 10) (-5 * 3 + X * 3) = 1 + 5(X + 10) (-15 + 3X) = 1 + 5(X + 10) Reorder the terms: -15 + 3X = 1 + 5(10 + X) -15 + 3X = 1 + (10 * 5 + X * 5) -15 + 3X = 1 + (50 + 5X) Combine like terms: 1 + 50 = 51 -15 + 3X = 51 + 5X Solving -15 + 3X = 51 + 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. -15 + 3X + -5X = 51 + 5X + -5X Combine like terms: 3X + -5X = -2X -15 + -2X = 51 + 5X + -5X Combine like terms: 5X + -5X = 0 -15 + -2X = 51 + 0 -15 + -2X = 51 Add '15' to each side of the equation. -15 + 15 + -2X = 51 + 15 Combine like terms: -15 + 15 = 0 0 + -2X = 51 + 15 -2X = 51 + 15 Combine like terms: 51 + 15 = 66 -2X = 66 Divide each side by '-2'. X = -33 Simplifying X = -33
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