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Simplifying 2x + -11 + -1(3x + 1) = 5x + -1(4x + 2) Reorder the terms: 2x + -11 + -1(1 + 3x) = 5x + -1(4x + 2) 2x + -11 + (1 * -1 + 3x * -1) = 5x + -1(4x + 2) 2x + -11 + (-1 + -3x) = 5x + -1(4x + 2) Reorder the terms: -11 + -1 + 2x + -3x = 5x + -1(4x + 2) Combine like terms: -11 + -1 = -12 -12 + 2x + -3x = 5x + -1(4x + 2) Combine like terms: 2x + -3x = -1x -12 + -1x = 5x + -1(4x + 2) Reorder the terms: -12 + -1x = 5x + -1(2 + 4x) -12 + -1x = 5x + (2 * -1 + 4x * -1) -12 + -1x = 5x + (-2 + -4x) Reorder the terms: -12 + -1x = -2 + 5x + -4x Combine like terms: 5x + -4x = 1x -12 + -1x = -2 + 1x Solving -12 + -1x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -1x + -1x = -2 + 1x + -1x Combine like terms: -1x + -1x = -2x -12 + -2x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + -2x = -2 + 0 -12 + -2x = -2 Add '12' to each side of the equation. -12 + 12 + -2x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -2 + 12 -2x = -2 + 12 Combine like terms: -2 + 12 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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