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Simplifying 6(7x + -8) + -1(2x + 5) = 0 Reorder the terms: 6(-8 + 7x) + -1(2x + 5) = 0 (-8 * 6 + 7x * 6) + -1(2x + 5) = 0 (-48 + 42x) + -1(2x + 5) = 0 Reorder the terms: -48 + 42x + -1(5 + 2x) = 0 -48 + 42x + (5 * -1 + 2x * -1) = 0 -48 + 42x + (-5 + -2x) = 0 Reorder the terms: -48 + -5 + 42x + -2x = 0 Combine like terms: -48 + -5 = -53 -53 + 42x + -2x = 0 Combine like terms: 42x + -2x = 40x -53 + 40x = 0 Solving -53 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 40x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 40x = 0 + 53 40x = 0 + 53 Combine like terms: 0 + 53 = 53 40x = 53 Divide each side by '40'. x = 1.325 Simplifying x = 1.325
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