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