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Simplifying 6x + 8(6x + 1) = 5x + 29 Reorder the terms: 6x + 8(1 + 6x) = 5x + 29 6x + (1 * 8 + 6x * 8) = 5x + 29 6x + (8 + 48x) = 5x + 29 Reorder the terms: 8 + 6x + 48x = 5x + 29 Combine like terms: 6x + 48x = 54x 8 + 54x = 5x + 29 Reorder the terms: 8 + 54x = 29 + 5x Solving 8 + 54x = 29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 54x + -5x = 29 + 5x + -5x Combine like terms: 54x + -5x = 49x 8 + 49x = 29 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 49x = 29 + 0 8 + 49x = 29 Add '-8' to each side of the equation. 8 + -8 + 49x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 49x = 29 + -8 49x = 29 + -8 Combine like terms: 29 + -8 = 21 49x = 21 Divide each side by '49'. x = 0.4285714286 Simplifying x = 0.4285714286
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