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Simplifying 3x + -2(4x + 3) + -1(x + 5) = 6 + -1(2x + 5) Reorder the terms: 3x + -2(3 + 4x) + -1(x + 5) = 6 + -1(2x + 5) 3x + (3 * -2 + 4x * -2) + -1(x + 5) = 6 + -1(2x + 5) 3x + (-6 + -8x) + -1(x + 5) = 6 + -1(2x + 5) Reorder the terms: 3x + -6 + -8x + -1(5 + x) = 6 + -1(2x + 5) 3x + -6 + -8x + (5 * -1 + x * -1) = 6 + -1(2x + 5) 3x + -6 + -8x + (-5 + -1x) = 6 + -1(2x + 5) Reorder the terms: -6 + -5 + 3x + -8x + -1x = 6 + -1(2x + 5) Combine like terms: -6 + -5 = -11 -11 + 3x + -8x + -1x = 6 + -1(2x + 5) Combine like terms: 3x + -8x = -5x -11 + -5x + -1x = 6 + -1(2x + 5) Combine like terms: -5x + -1x = -6x -11 + -6x = 6 + -1(2x + 5) Reorder the terms: -11 + -6x = 6 + -1(5 + 2x) -11 + -6x = 6 + (5 * -1 + 2x * -1) -11 + -6x = 6 + (-5 + -2x) Combine like terms: 6 + -5 = 1 -11 + -6x = 1 + -2x Solving -11 + -6x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -11 + -6x + 2x = 1 + -2x + 2x Combine like terms: -6x + 2x = -4x -11 + -4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + -4x = 1 + 0 -11 + -4x = 1 Add '11' to each side of the equation. -11 + 11 + -4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 1 + 11 -4x = 1 + 11 Combine like terms: 1 + 11 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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