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Simplifying 8(8x + 5) + -6(8x + 1) = 0 Reorder the terms: 8(5 + 8x) + -6(8x + 1) = 0 (5 * 8 + 8x * 8) + -6(8x + 1) = 0 (40 + 64x) + -6(8x + 1) = 0 Reorder the terms: 40 + 64x + -6(1 + 8x) = 0 40 + 64x + (1 * -6 + 8x * -6) = 0 40 + 64x + (-6 + -48x) = 0 Reorder the terms: 40 + -6 + 64x + -48x = 0 Combine like terms: 40 + -6 = 34 34 + 64x + -48x = 0 Combine like terms: 64x + -48x = 16x 34 + 16x = 0 Solving 34 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 16x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 16x = 0 + -34 16x = 0 + -34 Combine like terms: 0 + -34 = -34 16x = -34 Divide each side by '16'. x = -2.125 Simplifying x = -2.125
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