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Simplifying 7(5x + -9) + -1(4x + -8) = 0 Reorder the terms: 7(-9 + 5x) + -1(4x + -8) = 0 (-9 * 7 + 5x * 7) + -1(4x + -8) = 0 (-63 + 35x) + -1(4x + -8) = 0 Reorder the terms: -63 + 35x + -1(-8 + 4x) = 0 -63 + 35x + (-8 * -1 + 4x * -1) = 0 -63 + 35x + (8 + -4x) = 0 Reorder the terms: -63 + 8 + 35x + -4x = 0 Combine like terms: -63 + 8 = -55 -55 + 35x + -4x = 0 Combine like terms: 35x + -4x = 31x -55 + 31x = 0 Solving -55 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 31x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 31x = 0 + 55 31x = 0 + 55 Combine like terms: 0 + 55 = 55 31x = 55 Divide each side by '31'. x = 1.774193548 Simplifying x = 1.774193548
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