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