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Simplifying 12(8x + 1) + -8 = 2(24x + 16) Reorder the terms: 12(1 + 8x) + -8 = 2(24x + 16) (1 * 12 + 8x * 12) + -8 = 2(24x + 16) (12 + 96x) + -8 = 2(24x + 16) Reorder the terms: 12 + -8 + 96x = 2(24x + 16) Combine like terms: 12 + -8 = 4 4 + 96x = 2(24x + 16) Reorder the terms: 4 + 96x = 2(16 + 24x) 4 + 96x = (16 * 2 + 24x * 2) 4 + 96x = (32 + 48x) Solving 4 + 96x = 32 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 4 + 96x + -48x = 32 + 48x + -48x Combine like terms: 96x + -48x = 48x 4 + 48x = 32 + 48x + -48x Combine like terms: 48x + -48x = 0 4 + 48x = 32 + 0 4 + 48x = 32 Add '-4' to each side of the equation. 4 + -4 + 48x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 48x = 32 + -4 48x = 32 + -4 Combine like terms: 32 + -4 = 28 48x = 28 Divide each side by '48'. x = 0.5833333333 Simplifying x = 0.5833333333
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