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Simplifying x + -2(x + 1) + 3(x + -2) + 2(x + -6) = 0 Reorder the terms: x + -2(1 + x) + 3(x + -2) + 2(x + -6) = 0 x + (1 * -2 + x * -2) + 3(x + -2) + 2(x + -6) = 0 x + (-2 + -2x) + 3(x + -2) + 2(x + -6) = 0 Reorder the terms: x + -2 + -2x + 3(-2 + x) + 2(x + -6) = 0 x + -2 + -2x + (-2 * 3 + x * 3) + 2(x + -6) = 0 x + -2 + -2x + (-6 + 3x) + 2(x + -6) = 0 Reorder the terms: x + -2 + -2x + -6 + 3x + 2(-6 + x) = 0 x + -2 + -2x + -6 + 3x + (-6 * 2 + x * 2) = 0 x + -2 + -2x + -6 + 3x + (-12 + 2x) = 0 Reorder the terms: -2 + -6 + -12 + x + -2x + 3x + 2x = 0 Combine like terms: -2 + -6 = -8 -8 + -12 + x + -2x + 3x + 2x = 0 Combine like terms: -8 + -12 = -20 -20 + x + -2x + 3x + 2x = 0 Combine like terms: x + -2x = -1x -20 + -1x + 3x + 2x = 0 Combine like terms: -1x + 3x = 2x -20 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x -20 + 4x = 0 Solving -20 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 4x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 0 + 20 4x = 0 + 20 Combine like terms: 0 + 20 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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