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Simplifying 3(x + -2) + -1(7x + 2) + -4(3x + 1) = 0 Reorder the terms: 3(-2 + x) + -1(7x + 2) + -4(3x + 1) = 0 (-2 * 3 + x * 3) + -1(7x + 2) + -4(3x + 1) = 0 (-6 + 3x) + -1(7x + 2) + -4(3x + 1) = 0 Reorder the terms: -6 + 3x + -1(2 + 7x) + -4(3x + 1) = 0 -6 + 3x + (2 * -1 + 7x * -1) + -4(3x + 1) = 0 -6 + 3x + (-2 + -7x) + -4(3x + 1) = 0 Reorder the terms: -6 + 3x + -2 + -7x + -4(1 + 3x) = 0 -6 + 3x + -2 + -7x + (1 * -4 + 3x * -4) = 0 -6 + 3x + -2 + -7x + (-4 + -12x) = 0 Reorder the terms: -6 + -2 + -4 + 3x + -7x + -12x = 0 Combine like terms: -6 + -2 = -8 -8 + -4 + 3x + -7x + -12x = 0 Combine like terms: -8 + -4 = -12 -12 + 3x + -7x + -12x = 0 Combine like terms: 3x + -7x = -4x -12 + -4x + -12x = 0 Combine like terms: -4x + -12x = -16x -12 + -16x = 0 Solving -12 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -16x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 0 + 12 -16x = 0 + 12 Combine like terms: 0 + 12 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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