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Simplifying 3(2x + -1(1 + x) + 3(x + -2)) = 0 3(2x + (1 * -1 + x * -1) + 3(x + -2)) = 0 3(2x + (-1 + -1x) + 3(x + -2)) = 0 Reorder the terms: 3(2x + -1 + -1x + 3(-2 + x)) = 0 3(2x + -1 + -1x + (-2 * 3 + x * 3)) = 0 3(2x + -1 + -1x + (-6 + 3x)) = 0 Reorder the terms: 3(-1 + -6 + 2x + -1x + 3x) = 0 Combine like terms: -1 + -6 = -7 3(-7 + 2x + -1x + 3x) = 0 Combine like terms: 2x + -1x = 1x 3(-7 + 1x + 3x) = 0 Combine like terms: 1x + 3x = 4x 3(-7 + 4x) = 0 (-7 * 3 + 4x * 3) = 0 (-21 + 12x) = 0 Solving -21 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 12x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 0 + 21 12x = 0 + 21 Combine like terms: 0 + 21 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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