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Simplifying 3(7x + -2) + 2(8 + -4x) + -4(3x + 1) = -3 Reorder the terms: 3(-2 + 7x) + 2(8 + -4x) + -4(3x + 1) = -3 (-2 * 3 + 7x * 3) + 2(8 + -4x) + -4(3x + 1) = -3 (-6 + 21x) + 2(8 + -4x) + -4(3x + 1) = -3 -6 + 21x + (8 * 2 + -4x * 2) + -4(3x + 1) = -3 -6 + 21x + (16 + -8x) + -4(3x + 1) = -3 Reorder the terms: -6 + 21x + 16 + -8x + -4(1 + 3x) = -3 -6 + 21x + 16 + -8x + (1 * -4 + 3x * -4) = -3 -6 + 21x + 16 + -8x + (-4 + -12x) = -3 Reorder the terms: -6 + 16 + -4 + 21x + -8x + -12x = -3 Combine like terms: -6 + 16 = 10 10 + -4 + 21x + -8x + -12x = -3 Combine like terms: 10 + -4 = 6 6 + 21x + -8x + -12x = -3 Combine like terms: 21x + -8x = 13x 6 + 13x + -12x = -3 Combine like terms: 13x + -12x = 1x 6 + 1x = -3 Solving 6 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -3 + -6 1x = -3 + -6 Combine like terms: -3 + -6 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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