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Simplifying 2(-4x + 5) = 8x + 9 Reorder the terms: 2(5 + -4x) = 8x + 9 (5 * 2 + -4x * 2) = 8x + 9 (10 + -8x) = 8x + 9 Reorder the terms: 10 + -8x = 9 + 8x Solving 10 + -8x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -8x + -8x = 9 + 8x + -8x Combine like terms: -8x + -8x = -16x 10 + -16x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -16x = 9 + 0 10 + -16x = 9 Add '-10' to each side of the equation. 10 + -10 + -16x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = 9 + -10 -16x = 9 + -10 Combine like terms: 9 + -10 = -1 -16x = -1 Divide each side by '-16'. x = 0.0625 Simplifying x = 0.0625
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