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Simplifying 12x + -3(7x + 4) + x + -4 + 3(x + 7) + -6 = 0 Reorder the terms: 12x + -3(4 + 7x) + x + -4 + 3(x + 7) + -6 = 0 12x + (4 * -3 + 7x * -3) + x + -4 + 3(x + 7) + -6 = 0 12x + (-12 + -21x) + x + -4 + 3(x + 7) + -6 = 0 Reorder the terms: 12x + -12 + -21x + x + -4 + 3(7 + x) + -6 = 0 12x + -12 + -21x + x + -4 + (7 * 3 + x * 3) + -6 = 0 12x + -12 + -21x + x + -4 + (21 + 3x) + -6 = 0 Reorder the terms: -12 + -4 + 21 + -6 + 12x + -21x + x + 3x = 0 Combine like terms: -12 + -4 = -16 -16 + 21 + -6 + 12x + -21x + x + 3x = 0 Combine like terms: -16 + 21 = 5 5 + -6 + 12x + -21x + x + 3x = 0 Combine like terms: 5 + -6 = -1 -1 + 12x + -21x + x + 3x = 0 Combine like terms: 12x + -21x = -9x -1 + -9x + x + 3x = 0 Combine like terms: -9x + x = -8x -1 + -8x + 3x = 0 Combine like terms: -8x + 3x = -5x -1 + -5x = 0 Solving -1 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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