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Simplifying 7(6x + -8) + 5(4 + -5x) = 0 Reorder the terms: 7(-8 + 6x) + 5(4 + -5x) = 0 (-8 * 7 + 6x * 7) + 5(4 + -5x) = 0 (-56 + 42x) + 5(4 + -5x) = 0 -56 + 42x + (4 * 5 + -5x * 5) = 0 -56 + 42x + (20 + -25x) = 0 Reorder the terms: -56 + 20 + 42x + -25x = 0 Combine like terms: -56 + 20 = -36 -36 + 42x + -25x = 0 Combine like terms: 42x + -25x = 17x -36 + 17x = 0 Solving -36 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 17x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 17x = 0 + 36 17x = 0 + 36 Combine like terms: 0 + 36 = 36 17x = 36 Divide each side by '17'. x = 2.117647059 Simplifying x = 2.117647059
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