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Simplifying X + -15 + 3(X + 1) = 5(X + -2) + 11 Reorder the terms: X + -15 + 3(1 + X) = 5(X + -2) + 11 X + -15 + (1 * 3 + X * 3) = 5(X + -2) + 11 X + -15 + (3 + 3X) = 5(X + -2) + 11 Reorder the terms: -15 + 3 + X + 3X = 5(X + -2) + 11 Combine like terms: -15 + 3 = -12 -12 + X + 3X = 5(X + -2) + 11 Combine like terms: X + 3X = 4X -12 + 4X = 5(X + -2) + 11 Reorder the terms: -12 + 4X = 5(-2 + X) + 11 -12 + 4X = (-2 * 5 + X * 5) + 11 -12 + 4X = (-10 + 5X) + 11 Reorder the terms: -12 + 4X = -10 + 11 + 5X Combine like terms: -10 + 11 = 1 -12 + 4X = 1 + 5X Solving -12 + 4X = 1 + 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. -12 + 4X + -5X = 1 + 5X + -5X Combine like terms: 4X + -5X = -1X -12 + -1X = 1 + 5X + -5X Combine like terms: 5X + -5X = 0 -12 + -1X = 1 + 0 -12 + -1X = 1 Add '12' to each side of the equation. -12 + 12 + -1X = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -1X = 1 + 12 -1X = 1 + 12 Combine like terms: 1 + 12 = 13 -1X = 13 Divide each side by '-1'. X = -13 Simplifying X = -13
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