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Simplifying 8(2x + 4) = 6(9x + 2) + 2 Reorder the terms: 8(4 + 2x) = 6(9x + 2) + 2 (4 * 8 + 2x * 8) = 6(9x + 2) + 2 (32 + 16x) = 6(9x + 2) + 2 Reorder the terms: 32 + 16x = 6(2 + 9x) + 2 32 + 16x = (2 * 6 + 9x * 6) + 2 32 + 16x = (12 + 54x) + 2 Reorder the terms: 32 + 16x = 12 + 2 + 54x Combine like terms: 12 + 2 = 14 32 + 16x = 14 + 54x Solving 32 + 16x = 14 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 32 + 16x + -54x = 14 + 54x + -54x Combine like terms: 16x + -54x = -38x 32 + -38x = 14 + 54x + -54x Combine like terms: 54x + -54x = 0 32 + -38x = 14 + 0 32 + -38x = 14 Add '-32' to each side of the equation. 32 + -32 + -38x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -38x = 14 + -32 -38x = 14 + -32 Combine like terms: 14 + -32 = -18 -38x = -18 Divide each side by '-38'. x = 0.4736842105 Simplifying x = 0.4736842105
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