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Simplifying 3(4x + -1) + -7(2x + 3) + -1(5x + -9) = 0 Reorder the terms: 3(-1 + 4x) + -7(2x + 3) + -1(5x + -9) = 0 (-1 * 3 + 4x * 3) + -7(2x + 3) + -1(5x + -9) = 0 (-3 + 12x) + -7(2x + 3) + -1(5x + -9) = 0 Reorder the terms: -3 + 12x + -7(3 + 2x) + -1(5x + -9) = 0 -3 + 12x + (3 * -7 + 2x * -7) + -1(5x + -9) = 0 -3 + 12x + (-21 + -14x) + -1(5x + -9) = 0 Reorder the terms: -3 + 12x + -21 + -14x + -1(-9 + 5x) = 0 -3 + 12x + -21 + -14x + (-9 * -1 + 5x * -1) = 0 -3 + 12x + -21 + -14x + (9 + -5x) = 0 Reorder the terms: -3 + -21 + 9 + 12x + -14x + -5x = 0 Combine like terms: -3 + -21 = -24 -24 + 9 + 12x + -14x + -5x = 0 Combine like terms: -24 + 9 = -15 -15 + 12x + -14x + -5x = 0 Combine like terms: 12x + -14x = -2x -15 + -2x + -5x = 0 Combine like terms: -2x + -5x = -7x -15 + -7x = 0 Solving -15 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 0 + 15 -7x = 0 + 15 Combine like terms: 0 + 15 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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