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Simplifying 8(3x + 4) + -2(4x + -5) = 0 Reorder the terms: 8(4 + 3x) + -2(4x + -5) = 0 (4 * 8 + 3x * 8) + -2(4x + -5) = 0 (32 + 24x) + -2(4x + -5) = 0 Reorder the terms: 32 + 24x + -2(-5 + 4x) = 0 32 + 24x + (-5 * -2 + 4x * -2) = 0 32 + 24x + (10 + -8x) = 0 Reorder the terms: 32 + 10 + 24x + -8x = 0 Combine like terms: 32 + 10 = 42 42 + 24x + -8x = 0 Combine like terms: 24x + -8x = 16x 42 + 16x = 0 Solving 42 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 16x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 16x = 0 + -42 16x = 0 + -42 Combine like terms: 0 + -42 = -42 16x = -42 Divide each side by '16'. x = -2.625 Simplifying x = -2.625
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