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Simplifying 4(7x + -1) + 3(2 + -5x) + -4(3x + 7) = -6 Reorder the terms: 4(-1 + 7x) + 3(2 + -5x) + -4(3x + 7) = -6 (-1 * 4 + 7x * 4) + 3(2 + -5x) + -4(3x + 7) = -6 (-4 + 28x) + 3(2 + -5x) + -4(3x + 7) = -6 -4 + 28x + (2 * 3 + -5x * 3) + -4(3x + 7) = -6 -4 + 28x + (6 + -15x) + -4(3x + 7) = -6 Reorder the terms: -4 + 28x + 6 + -15x + -4(7 + 3x) = -6 -4 + 28x + 6 + -15x + (7 * -4 + 3x * -4) = -6 -4 + 28x + 6 + -15x + (-28 + -12x) = -6 Reorder the terms: -4 + 6 + -28 + 28x + -15x + -12x = -6 Combine like terms: -4 + 6 = 2 2 + -28 + 28x + -15x + -12x = -6 Combine like terms: 2 + -28 = -26 -26 + 28x + -15x + -12x = -6 Combine like terms: 28x + -15x = 13x -26 + 13x + -12x = -6 Combine like terms: 13x + -12x = 1x -26 + 1x = -6 Solving -26 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 1x = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 1x = -6 + 26 1x = -6 + 26 Combine like terms: -6 + 26 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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