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Simplifying 6 + -2(x + 3) + -1x = -1x + -4(x + 2) Reorder the terms: 6 + -2(3 + x) + -1x = -1x + -4(x + 2) 6 + (3 * -2 + x * -2) + -1x = -1x + -4(x + 2) 6 + (-6 + -2x) + -1x = -1x + -4(x + 2) Combine like terms: 6 + -6 = 0 0 + -2x + -1x = -1x + -4(x + 2) -2x + -1x = -1x + -4(x + 2) Combine like terms: -2x + -1x = -3x -3x = -1x + -4(x + 2) Reorder the terms: -3x = -1x + -4(2 + x) -3x = -1x + (2 * -4 + x * -4) -3x = -1x + (-8 + -4x) Reorder the terms: -3x = -8 + -1x + -4x Combine like terms: -1x + -4x = -5x -3x = -8 + -5x Solving -3x = -8 + -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. -3x + 5x = -8 + -5x + 5x Combine like terms: -3x + 5x = 2x 2x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 2x = -8 + 0 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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